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Finding the Fourth Proportional to 42.65, 64.01 and 25.55

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Solution

The fourth proportional to 42.65, 64.01 and 25.55 is: 38.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.65 : 64.01 = 25.55 : x
  2. Step 2: Convert to fraction form
    42.65/64.01 = 25.55/x
  3. Step 3: Cross multiply
    42.65x = 64.01 × 25.55
  4. Step 4: Simplify right side
    42.65x = 1,635.46
  5. Step 5: Solve for x
    x = 1,635.46/42.65
  6. Step 6: Final answer
    x = 38.35

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Why These Related Problems?

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