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Finding the Fourth Proportional to 160.14, 238.78 and 136.92

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Solution

The fourth proportional to 160.14, 238.78 and 136.92 is: 204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.14 : 238.78 = 136.92 : x
  2. Step 2: Convert to fraction form
    160.14/238.78 = 136.92/x
  3. Step 3: Cross multiply
    160.14x = 238.78 × 136.92
  4. Step 4: Simplify right side
    160.14x = 32,693.76
  5. Step 5: Solve for x
    x = 32,693.76/160.14
  6. Step 6: Final answer
    x = 204.16

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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.