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Finding the Fourth Proportional to 494.18, 681.63 and 346.76

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Solution

The fourth proportional to 494.18, 681.63 and 346.76 is: 478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.18 : 681.63 = 346.76 : x
  2. Step 2: Convert to fraction form
    494.18/681.63 = 346.76/x
  3. Step 3: Cross multiply
    494.18x = 681.63 × 346.76
  4. Step 4: Simplify right side
    494.18x = 236,362.02
  5. Step 5: Solve for x
    x = 236,362.02/494.18
  6. Step 6: Final answer
    x = 478.29

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Find fourth proportional to 247.09, 340.82 and 173.38
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.