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Finding the Fourth Proportional to 410.97, 616.81 and 213.45

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Solution

The fourth proportional to 410.97, 616.81 and 213.45 is: 320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.97 : 616.81 = 213.45 : x
  2. Step 2: Convert to fraction form
    410.97/616.81 = 213.45/x
  3. Step 3: Cross multiply
    410.97x = 616.81 × 213.45
  4. Step 4: Simplify right side
    410.97x = 131,655.01
  5. Step 5: Solve for x
    x = 131,655.01/410.97
  6. Step 6: Final answer
    x = 320.35

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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.