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Finding the Fourth Proportional to 162.46, 243.49 and 75.77

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Solution

The fourth proportional to 162.46, 243.49 and 75.77 is: 113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.46 : 243.49 = 75.77 : x
  2. Step 2: Convert to fraction form
    162.46/243.49 = 75.77/x
  3. Step 3: Cross multiply
    162.46x = 243.49 × 75.77
  4. Step 4: Simplify right side
    162.46x = 18,449.24
  5. Step 5: Solve for x
    x = 18,449.24/162.46
  6. Step 6: Final answer
    x = 113.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.