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Finding the Fourth Proportional to 515.29, 711.10 and 282.41

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Solution

The fourth proportional to 515.29, 711.10 and 282.41 is: 389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.29 : 711.10 = 282.41 : x
  2. Step 2: Convert to fraction form
    515.29/711.10 = 282.41/x
  3. Step 3: Cross multiply
    515.29x = 711.10 × 282.41
  4. Step 4: Simplify right side
    515.29x = 200,821.75
  5. Step 5: Solve for x
    x = 200,821.75/515.29
  6. Step 6: Final answer
    x = 389.73

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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.