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Finding the Fourth Proportional to 160.44, 238.68 and 159.90

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Solution

The fourth proportional to 160.44, 238.68 and 159.90 is: 237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.44 : 238.68 = 159.90 : x
  2. Step 2: Convert to fraction form
    160.44/238.68 = 159.90/x
  3. Step 3: Cross multiply
    160.44x = 238.68 × 159.90
  4. Step 4: Simplify right side
    160.44x = 38,164.93
  5. Step 5: Solve for x
    x = 38,164.93/160.44
  6. Step 6: Final answer
    x = 237.88

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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.