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Finding the Fourth Proportional to 159.62, 240.87 and 153.90

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Solution

The fourth proportional to 159.62, 240.87 and 153.90 is: 232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.62 : 240.87 = 153.90 : x
  2. Step 2: Convert to fraction form
    159.62/240.87 = 153.90/x
  3. Step 3: Cross multiply
    159.62x = 240.87 × 153.90
  4. Step 4: Simplify right side
    159.62x = 37,069.89
  5. Step 5: Solve for x
    x = 37,069.89/159.62
  6. Step 6: Final answer
    x = 232.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.