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Finding the Fourth Proportional to 492.21, 679.28 and 282.35

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Solution

The fourth proportional to 492.21, 679.28 and 282.35 is: 389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.21 : 679.28 = 282.35 : x
  2. Step 2: Convert to fraction form
    492.21/679.28 = 282.35/x
  3. Step 3: Cross multiply
    492.21x = 679.28 × 282.35
  4. Step 4: Simplify right side
    492.21x = 191,794.99
  5. Step 5: Solve for x
    x = 191,794.99/492.21
  6. Step 6: Final answer
    x = 389.66

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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.