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Finding the Fourth Proportional to 160.82, 240.01 and 136.42

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Solution

The fourth proportional to 160.82, 240.01 and 136.42 is: 203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.82 : 240.01 = 136.42 : x
  2. Step 2: Convert to fraction form
    160.82/240.01 = 136.42/x
  3. Step 3: Cross multiply
    160.82x = 240.01 × 136.42
  4. Step 4: Simplify right side
    160.82x = 32,742.16
  5. Step 5: Solve for x
    x = 32,742.16/160.82
  6. Step 6: Final answer
    x = 203.60

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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.