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Finding the Fourth Proportional to 422.53, 633.72 and 114.38

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Solution

The fourth proportional to 422.53, 633.72 and 114.38 is: 171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.53 : 633.72 = 114.38 : x
  2. Step 2: Convert to fraction form
    422.53/633.72 = 114.38/x
  3. Step 3: Cross multiply
    422.53x = 633.72 × 114.38
  4. Step 4: Simplify right side
    422.53x = 72,484.89
  5. Step 5: Solve for x
    x = 72,484.89/422.53
  6. Step 6: Final answer
    x = 171.55

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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.