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Finding the Fourth Proportional to 42.59, 63.82 and 25.45

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Solution

The fourth proportional to 42.59, 63.82 and 25.45 is: 38.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.59 : 63.82 = 25.45 : x
  2. Step 2: Convert to fraction form
    42.59/63.82 = 25.45/x
  3. Step 3: Cross multiply
    42.59x = 63.82 × 25.45
  4. Step 4: Simplify right side
    42.59x = 1,624.36
  5. Step 5: Solve for x
    x = 1,624.36/42.59
  6. Step 6: Final answer
    x = 38.14

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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.