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Finding the Fourth Proportional to 515.55, 711.25 and 294.38

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Solution

The fourth proportional to 515.55, 711.25 and 294.38 is: 406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.55 : 711.25 = 294.38 : x
  2. Step 2: Convert to fraction form
    515.55/711.25 = 294.38/x
  3. Step 3: Cross multiply
    515.55x = 711.25 × 294.38
  4. Step 4: Simplify right side
    515.55x = 209,379.92
  5. Step 5: Solve for x
    x = 209,379.92/515.55
  6. Step 6: Final answer
    x = 406.13

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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.