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Finding the Fourth Proportional to 410.54, 615.62 and 163.78

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Solution

The fourth proportional to 410.54, 615.62 and 163.78 is: 245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.54 : 615.62 = 163.78 : x
  2. Step 2: Convert to fraction form
    410.54/615.62 = 163.78/x
  3. Step 3: Cross multiply
    410.54x = 615.62 × 163.78
  4. Step 4: Simplify right side
    410.54x = 100,825.11
  5. Step 5: Solve for x
    x = 100,825.11/410.54
  6. Step 6: Final answer
    x = 245.59

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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.