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Finding the Fourth Proportional to 409.68, 615.42 and 247.46

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Solution

The fourth proportional to 409.68, 615.42 and 247.46 is: 371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.68 : 615.42 = 247.46 : x
  2. Step 2: Convert to fraction form
    409.68/615.42 = 247.46/x
  3. Step 3: Cross multiply
    409.68x = 615.42 × 247.46
  4. Step 4: Simplify right side
    409.68x = 152,291.83
  5. Step 5: Solve for x
    x = 152,291.83/409.68
  6. Step 6: Final answer
    x = 371.73

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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.