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Finding the Fourth Proportional to 410.66, 615.16 and 248.66

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Solution

The fourth proportional to 410.66, 615.16 and 248.66 is: 372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.66 : 615.16 = 248.66 : x
  2. Step 2: Convert to fraction form
    410.66/615.16 = 248.66/x
  3. Step 3: Cross multiply
    410.66x = 615.16 × 248.66
  4. Step 4: Simplify right side
    410.66x = 152,965.69
  5. Step 5: Solve for x
    x = 152,965.69/410.66
  6. Step 6: Final answer
    x = 372.49

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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.