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Finding the Fourth Proportional to 160.53, 239.84 and 133.17

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Solution

The fourth proportional to 160.53, 239.84 and 133.17 is: 198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.53 : 239.84 = 133.17 : x
  2. Step 2: Convert to fraction form
    160.53/239.84 = 133.17/x
  3. Step 3: Cross multiply
    160.53x = 239.84 × 133.17
  4. Step 4: Simplify right side
    160.53x = 31,938.83
  5. Step 5: Solve for x
    x = 31,938.83/160.53
  6. Step 6: Final answer
    x = 198.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.