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Finding the Fourth Proportional to 160.47, 242.06 and 158.90

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Solution

The fourth proportional to 160.47, 242.06 and 158.90 is: 239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.47 : 242.06 = 158.90 : x
  2. Step 2: Convert to fraction form
    160.47/242.06 = 158.90/x
  3. Step 3: Cross multiply
    160.47x = 242.06 × 158.90
  4. Step 4: Simplify right side
    160.47x = 38,461.33
  5. Step 5: Solve for x
    x = 38,461.33/160.47
  6. Step 6: Final answer
    x = 239.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.