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Finding the Fourth Proportional to 160.12, 238.87 and 134.61

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Solution

The fourth proportional to 160.12, 238.87 and 134.61 is: 200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.12 : 238.87 = 134.61 : x
  2. Step 2: Convert to fraction form
    160.12/238.87 = 134.61/x
  3. Step 3: Cross multiply
    160.12x = 238.87 × 134.61
  4. Step 4: Simplify right side
    160.12x = 32,152.42
  5. Step 5: Solve for x
    x = 32,152.42/160.12
  6. Step 6: Final answer
    x = 200.80

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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.