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Finding the Fourth Proportional to 422.95, 633.62 and 240.47

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Solution

The fourth proportional to 422.95, 633.62 and 240.47 is: 360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.95 : 633.62 = 240.47 : x
  2. Step 2: Convert to fraction form
    422.95/633.62 = 240.47/x
  3. Step 3: Cross multiply
    422.95x = 633.62 × 240.47
  4. Step 4: Simplify right side
    422.95x = 152,366.60
  5. Step 5: Solve for x
    x = 152,366.60/422.95
  6. Step 6: Final answer
    x = 360.25

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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.