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Finding the Fourth Proportional to 160.37, 239.16 and 149.43

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Solution

The fourth proportional to 160.37, 239.16 and 149.43 is: 222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.37 : 239.16 = 149.43 : x
  2. Step 2: Convert to fraction form
    160.37/239.16 = 149.43/x
  3. Step 3: Cross multiply
    160.37x = 239.16 × 149.43
  4. Step 4: Simplify right side
    160.37x = 35,737.68
  5. Step 5: Solve for x
    x = 35,737.68/160.37
  6. Step 6: Final answer
    x = 222.85

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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.