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Finding the Fourth Proportional to 527.14, 727.50 and 294.28

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Solution

The fourth proportional to 527.14, 727.50 and 294.28 is: 406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.14 : 727.50 = 294.28 : x
  2. Step 2: Convert to fraction form
    527.14/727.50 = 294.28/x
  3. Step 3: Cross multiply
    527.14x = 727.50 × 294.28
  4. Step 4: Simplify right side
    527.14x = 214,088.70
  5. Step 5: Solve for x
    x = 214,088.70/527.14
  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.