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Finding the Fourth Proportional to 410.76, 615.84 and 167.22

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Solution

The fourth proportional to 410.76, 615.84 and 167.22 is: 250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.76 : 615.84 = 167.22 : x
  2. Step 2: Convert to fraction form
    410.76/615.84 = 167.22/x
  3. Step 3: Cross multiply
    410.76x = 615.84 × 167.22
  4. Step 4: Simplify right side
    410.76x = 102,980.76
  5. Step 5: Solve for x
    x = 102,980.76/410.76
  6. Step 6: Final answer
    x = 250.71

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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.