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Finding the Fourth Proportional to 160.09, 239.05 and 140.42

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Solution

The fourth proportional to 160.09, 239.05 and 140.42 is: 209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.09 : 239.05 = 140.42 : x
  2. Step 2: Convert to fraction form
    160.09/239.05 = 140.42/x
  3. Step 3: Cross multiply
    160.09x = 239.05 × 140.42
  4. Step 4: Simplify right side
    160.09x = 33,565.85
  5. Step 5: Solve for x
    x = 33,565.85/160.09
  6. Step 6: Final answer
    x = 209.67

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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.