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Finding the Fourth Proportional to 96.47, 144.50 and 51.82

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Solution

The fourth proportional to 96.47, 144.50 and 51.82 is: 77.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.47 : 144.50 = 51.82 : x
  2. Step 2: Convert to fraction form
    96.47/144.50 = 51.82/x
  3. Step 3: Cross multiply
    96.47x = 144.50 × 51.82
  4. Step 4: Simplify right side
    96.47x = 7,487.37
  5. Step 5: Solve for x
    x = 7,487.37/96.47
  6. Step 6: Final answer
    x = 77.61

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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.