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Finding the Fourth Proportional to 96.17, 144.21 and 31.16

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Solution

The fourth proportional to 96.17, 144.21 and 31.16 is: 46.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.17 : 144.21 = 31.16 : x
  2. Step 2: Convert to fraction form
    96.17/144.21 = 31.16/x
  3. Step 3: Cross multiply
    96.17x = 144.21 × 31.16
  4. Step 4: Simplify right side
    96.17x = 4,494.06
  5. Step 5: Solve for x
    x = 4,494.06/96.17
  6. Step 6: Final answer
    x = 46.73

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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.