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Finding the Fourth Proportional to 527.19, 727.54 and 294.31

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Solution

The fourth proportional to 527.19, 727.54 and 294.31 is: 406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.19 : 727.54 = 294.31 : x
  2. Step 2: Convert to fraction form
    527.19/727.54 = 294.31/x
  3. Step 3: Cross multiply
    527.19x = 727.54 × 294.31
  4. Step 4: Simplify right side
    527.19x = 214,122.30
  5. Step 5: Solve for x
    x = 214,122.30/527.19
  6. Step 6: Final answer
    x = 406.16

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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.