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Finding the Fourth Proportional to 421.97, 632.88 and 113.83

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Solution

The fourth proportional to 421.97, 632.88 and 113.83 is: 170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.97 : 632.88 = 113.83 : x
  2. Step 2: Convert to fraction form
    421.97/632.88 = 113.83/x
  3. Step 3: Cross multiply
    421.97x = 632.88 × 113.83
  4. Step 4: Simplify right side
    421.97x = 72,039.15
  5. Step 5: Solve for x
    x = 72,039.15/421.97
  6. Step 6: Final answer
    x = 170.72

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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.