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Finding the Fourth Proportional to 160.89, 239.44 and 155.13

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Solution

The fourth proportional to 160.89, 239.44 and 155.13 is: 230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.89 : 239.44 = 155.13 : x
  2. Step 2: Convert to fraction form
    160.89/239.44 = 155.13/x
  3. Step 3: Cross multiply
    160.89x = 239.44 × 155.13
  4. Step 4: Simplify right side
    160.89x = 37,143.94
  5. Step 5: Solve for x
    x = 37,143.94/160.89
  6. Step 6: Final answer
    x = 230.87

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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.