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Finding the Fourth Proportional to 410.76, 616.39 and 194.36

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Solution

The fourth proportional to 410.76, 616.39 and 194.36 is: 291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.76 : 616.39 = 194.36 : x
  2. Step 2: Convert to fraction form
    410.76/616.39 = 194.36/x
  3. Step 3: Cross multiply
    410.76x = 616.39 × 194.36
  4. Step 4: Simplify right side
    410.76x = 119,797.99
  5. Step 5: Solve for x
    x = 119,797.99/410.76
  6. Step 6: Final answer
    x = 291.65

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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.