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Finding the Fourth Proportional to 435.60, 649.98 and 363.60

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Solution

The fourth proportional to 435.60, 649.98 and 363.60 is: 542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.60 : 649.98 = 363.60 : x
  2. Step 2: Convert to fraction form
    435.60/649.98 = 363.60/x
  3. Step 3: Cross multiply
    435.60x = 649.98 × 363.60
  4. Step 4: Simplify right side
    435.60x = 236,332.73
  5. Step 5: Solve for x
    x = 236,332.73/435.60
  6. Step 6: Final answer
    x = 542.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.