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Finding the Fourth Proportional to 159.40, 237.96 and 157.88

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Solution

The fourth proportional to 159.40, 237.96 and 157.88 is: 235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.40 : 237.96 = 157.88 : x
  2. Step 2: Convert to fraction form
    159.40/237.96 = 157.88/x
  3. Step 3: Cross multiply
    159.40x = 237.96 × 157.88
  4. Step 4: Simplify right side
    159.40x = 37,569.12
  5. Step 5: Solve for x
    x = 37,569.12/159.40
  6. Step 6: Final answer
    x = 235.69

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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.