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Finding the Fourth Proportional to 96.38, 144.59 and 42.27

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Solution

The fourth proportional to 96.38, 144.59 and 42.27 is: 63.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.38 : 144.59 = 42.27 : x
  2. Step 2: Convert to fraction form
    96.38/144.59 = 42.27/x
  3. Step 3: Cross multiply
    96.38x = 144.59 × 42.27
  4. Step 4: Simplify right side
    96.38x = 6,111.82
  5. Step 5: Solve for x
    x = 6,111.82/96.38
  6. Step 6: Final answer
    x = 63.41

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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.