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Finding the Fourth Proportional to 160.01, 239.66 and 98.96

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Solution

The fourth proportional to 160.01, 239.66 and 98.96 is: 148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.01 : 239.66 = 98.96 : x
  2. Step 2: Convert to fraction form
    160.01/239.66 = 98.96/x
  3. Step 3: Cross multiply
    160.01x = 239.66 × 98.96
  4. Step 4: Simplify right side
    160.01x = 23,715.43
  5. Step 5: Solve for x
    x = 23,715.43/160.01
  6. Step 6: Final answer
    x = 148.21

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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.