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Finding the Fourth Proportional to 160.28, 239.56 and 116.56

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Solution

The fourth proportional to 160.28, 239.56 and 116.56 is: 174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.28 : 239.56 = 116.56 : x
  2. Step 2: Convert to fraction form
    160.28/239.56 = 116.56/x
  3. Step 3: Cross multiply
    160.28x = 239.56 × 116.56
  4. Step 4: Simplify right side
    160.28x = 27,923.11
  5. Step 5: Solve for x
    x = 27,923.11/160.28
  6. Step 6: Final answer
    x = 174.21

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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.