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Finding the Fourth Proportional to 410.64, 615.36 and 381.90

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Solution

The fourth proportional to 410.64, 615.36 and 381.90 is: 572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.64 : 615.36 = 381.90 : x
  2. Step 2: Convert to fraction form
    410.64/615.36 = 381.90/x
  3. Step 3: Cross multiply
    410.64x = 615.36 × 381.90
  4. Step 4: Simplify right side
    410.64x = 235,005.98
  5. Step 5: Solve for x
    x = 235,005.98/410.64
  6. Step 6: Final answer
    x = 572.29

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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.