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Finding the Fourth Proportional to 160.99, 239.20 and 158.15

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Solution

The fourth proportional to 160.99, 239.20 and 158.15 is: 234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.99 : 239.20 = 158.15 : x
  2. Step 2: Convert to fraction form
    160.99/239.20 = 158.15/x
  3. Step 3: Cross multiply
    160.99x = 239.20 × 158.15
  4. Step 4: Simplify right side
    160.99x = 37,830.57
  5. Step 5: Solve for x
    x = 37,830.57/160.99
  6. Step 6: Final answer
    x = 234.99

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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.