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Finding the Fourth Proportional to 52.57, 78.56 and 39.66

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Solution

The fourth proportional to 52.57, 78.56 and 39.66 is: 59.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.57 : 78.56 = 39.66 : x
  2. Step 2: Convert to fraction form
    52.57/78.56 = 39.66/x
  3. Step 3: Cross multiply
    52.57x = 78.56 × 39.66
  4. Step 4: Simplify right side
    52.57x = 3,115.69
  5. Step 5: Solve for x
    x = 3,115.69/52.57
  6. Step 6: Final answer
    x = 59.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.