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Finding the Fourth Proportional to 349.30, 478.05 and 345.66

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Solution

The fourth proportional to 349.30, 478.05 and 345.66 is: 473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.30 : 478.05 = 345.66 : x
  2. Step 2: Convert to fraction form
    349.30/478.05 = 345.66/x
  3. Step 3: Cross multiply
    349.30x = 478.05 × 345.66
  4. Step 4: Simplify right side
    349.30x = 165,242.76
  5. Step 5: Solve for x
    x = 165,242.76/349.30
  6. Step 6: Final answer
    x = 473.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.