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Finding the Fourth Proportional to 422.96, 633.28 and 240.08

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Solution

The fourth proportional to 422.96, 633.28 and 240.08 is: 359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.96 : 633.28 = 240.08 : x
  2. Step 2: Convert to fraction form
    422.96/633.28 = 240.08/x
  3. Step 3: Cross multiply
    422.96x = 633.28 × 240.08
  4. Step 4: Simplify right side
    422.96x = 152,037.86
  5. Step 5: Solve for x
    x = 152,037.86/422.96
  6. Step 6: Final answer
    x = 359.46

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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.