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Finding the Fourth Proportional to 527.06, 727.28 and 294.20

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Solution

The fourth proportional to 527.06, 727.28 and 294.20 is: 405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.06 : 727.28 = 294.20 : x
  2. Step 2: Convert to fraction form
    527.06/727.28 = 294.20/x
  3. Step 3: Cross multiply
    527.06x = 727.28 × 294.20
  4. Step 4: Simplify right side
    527.06x = 213,965.78
  5. Step 5: Solve for x
    x = 213,965.78/527.06
  6. Step 6: Final answer
    x = 405.96

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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.