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Finding the Fourth Proportional to 502.28, 753.26 and 177.77

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Solution

The fourth proportional to 502.28, 753.26 and 177.77 is: 266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.28 : 753.26 = 177.77 : x
  2. Step 2: Convert to fraction form
    502.28/753.26 = 177.77/x
  3. Step 3: Cross multiply
    502.28x = 753.26 × 177.77
  4. Step 4: Simplify right side
    502.28x = 133,907.03
  5. Step 5: Solve for x
    x = 133,907.03/502.28
  6. Step 6: Final answer
    x = 266.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.