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Finding the Fourth Proportional to 435.60, 649.80 and 363.24

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Solution

The fourth proportional to 435.60, 649.80 and 363.24 is: 541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.60 : 649.80 = 363.24 : x
  2. Step 2: Convert to fraction form
    435.60/649.80 = 363.24/x
  3. Step 3: Cross multiply
    435.60x = 649.80 × 363.24
  4. Step 4: Simplify right side
    435.60x = 236,033.35
  5. Step 5: Solve for x
    x = 236,033.35/435.60
  6. Step 6: Final answer
    x = 541.86

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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.