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Finding the Fourth Proportional to 162.78, 243.29 and 149.81

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Solution

The fourth proportional to 162.78, 243.29 and 149.81 is: 223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.78 : 243.29 = 149.81 : x
  2. Step 2: Convert to fraction form
    162.78/243.29 = 149.81/x
  3. Step 3: Cross multiply
    162.78x = 243.29 × 149.81
  4. Step 4: Simplify right side
    162.78x = 36,445.50
  5. Step 5: Solve for x
    x = 36,445.50/162.78
  6. Step 6: Final answer
    x = 223.90

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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.