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Finding the Fourth Proportional to 410.89, 616.55 and 137.05

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Solution

The fourth proportional to 410.89, 616.55 and 137.05 is: 205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.89 : 616.55 = 137.05 : x
  2. Step 2: Convert to fraction form
    410.89/616.55 = 137.05/x
  3. Step 3: Cross multiply
    410.89x = 616.55 × 137.05
  4. Step 4: Simplify right side
    410.89x = 84,498.18
  5. Step 5: Solve for x
    x = 84,498.18/410.89
  6. Step 6: Final answer
    x = 205.65

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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.