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Finding the Fourth Proportional to 52.38, 78.88 and 40.28

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Solution

The fourth proportional to 52.38, 78.88 and 40.28 is: 60.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.38 : 78.88 = 40.28 : x
  2. Step 2: Convert to fraction form
    52.38/78.88 = 40.28/x
  3. Step 3: Cross multiply
    52.38x = 78.88 × 40.28
  4. Step 4: Simplify right side
    52.38x = 3,177.29
  5. Step 5: Solve for x
    x = 3,177.29/52.38
  6. Step 6: Final answer
    x = 60.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.