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Finding the Fourth Proportional to 633.82, 951.15 and 360.12

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Solution

The fourth proportional to 633.82, 951.15 and 360.12 is: 540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.82 : 951.15 = 360.12 : x
  2. Step 2: Convert to fraction form
    633.82/951.15 = 360.12/x
  3. Step 3: Cross multiply
    633.82x = 951.15 × 360.12
  4. Step 4: Simplify right side
    633.82x = 342,528.14
  5. Step 5: Solve for x
    x = 342,528.14/633.82
  6. Step 6: Final answer
    x = 540.42

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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.