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Finding the Fourth Proportional to 421.93, 632.83 and 113.80

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Solution

The fourth proportional to 421.93, 632.83 and 113.80 is: 170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.93 : 632.83 = 113.80 : x
  2. Step 2: Convert to fraction form
    421.93/632.83 = 113.80/x
  3. Step 3: Cross multiply
    421.93x = 632.83 × 113.80
  4. Step 4: Simplify right side
    421.93x = 72,016.05
  5. Step 5: Solve for x
    x = 72,016.05/421.93
  6. Step 6: Final answer
    x = 170.68

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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.