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Finding the Fourth Proportional to 162.92, 243.04 and 157.43

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Solution

The fourth proportional to 162.92, 243.04 and 157.43 is: 234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.92 : 243.04 = 157.43 : x
  2. Step 2: Convert to fraction form
    162.92/243.04 = 157.43/x
  3. Step 3: Cross multiply
    162.92x = 243.04 × 157.43
  4. Step 4: Simplify right side
    162.92x = 38,261.79
  5. Step 5: Solve for x
    x = 38,261.79/162.92
  6. Step 6: Final answer
    x = 234.85

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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.