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Finding the Fourth Proportional to 410.88, 616.95 and 257.79

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Solution

The fourth proportional to 410.88, 616.95 and 257.79 is: 387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.88 : 616.95 = 257.79 : x
  2. Step 2: Convert to fraction form
    410.88/616.95 = 257.79/x
  3. Step 3: Cross multiply
    410.88x = 616.95 × 257.79
  4. Step 4: Simplify right side
    410.88x = 159,043.54
  5. Step 5: Solve for x
    x = 159,043.54/410.88
  6. Step 6: Final answer
    x = 387.08

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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.