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Finding the Fourth Proportional to 527.32, 727.70 and 306.40

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Solution

The fourth proportional to 527.32, 727.70 and 306.40 is: 422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.32 : 727.70 = 306.40 : x
  2. Step 2: Convert to fraction form
    527.32/727.70 = 306.40/x
  3. Step 3: Cross multiply
    527.32x = 727.70 × 306.40
  4. Step 4: Simplify right side
    527.32x = 222,962.11
  5. Step 5: Solve for x
    x = 222,962.11/527.32
  6. Step 6: Final answer
    x = 422.83

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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.