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Finding the Fourth Proportional to 515.28, 710.91 and 294.18

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Solution

The fourth proportional to 515.28, 710.91 and 294.18 is: 405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.28 : 710.91 = 294.18 : x
  2. Step 2: Convert to fraction form
    515.28/710.91 = 294.18/x
  3. Step 3: Cross multiply
    515.28x = 710.91 × 294.18
  4. Step 4: Simplify right side
    515.28x = 209,135.50
  5. Step 5: Solve for x
    x = 209,135.50/515.28
  6. Step 6: Final answer
    x = 405.87

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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.