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Finding the Fourth Proportional to 96.29, 144.47 and 78.18

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Solution

The fourth proportional to 96.29, 144.47 and 78.18 is: 117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.29 : 144.47 = 78.18 : x
  2. Step 2: Convert to fraction form
    96.29/144.47 = 78.18/x
  3. Step 3: Cross multiply
    96.29x = 144.47 × 78.18
  4. Step 4: Simplify right side
    96.29x = 11,294.27
  5. Step 5: Solve for x
    x = 11,294.27/96.29
  6. Step 6: Final answer
    x = 117.30

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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.