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Finding the Fourth Proportional to 96.47, 144.69 and 38.69

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Solution

The fourth proportional to 96.47, 144.69 and 38.69 is: 58.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.47 : 144.69 = 38.69 : x
  2. Step 2: Convert to fraction form
    96.47/144.69 = 38.69/x
  3. Step 3: Cross multiply
    96.47x = 144.69 × 38.69
  4. Step 4: Simplify right side
    96.47x = 5,598.06
  5. Step 5: Solve for x
    x = 5,598.06/96.47
  6. Step 6: Final answer
    x = 58.03

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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.