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Finding the Fourth Proportional to 160.07, 239.96 and 63.81

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Solution

The fourth proportional to 160.07, 239.96 and 63.81 is: 95.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.07 : 239.96 = 63.81 : x
  2. Step 2: Convert to fraction form
    160.07/239.96 = 63.81/x
  3. Step 3: Cross multiply
    160.07x = 239.96 × 63.81
  4. Step 4: Simplify right side
    160.07x = 15,311.85
  5. Step 5: Solve for x
    x = 15,311.85/160.07
  6. Step 6: Final answer
    x = 95.66

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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.