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Finding the Fourth Proportional to 159.16, 237.47 and 132.28

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Solution

The fourth proportional to 159.16, 237.47 and 132.28 is: 197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.16 : 237.47 = 132.28 : x
  2. Step 2: Convert to fraction form
    159.16/237.47 = 132.28/x
  3. Step 3: Cross multiply
    159.16x = 237.47 × 132.28
  4. Step 4: Simplify right side
    159.16x = 31,412.53
  5. Step 5: Solve for x
    x = 31,412.53/159.16
  6. Step 6: Final answer
    x = 197.36

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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.