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Finding the Fourth Proportional to 590.61, 886.09 and 243.97

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Solution

The fourth proportional to 590.61, 886.09 and 243.97 is: 366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.61 : 886.09 = 243.97 : x
  2. Step 2: Convert to fraction form
    590.61/886.09 = 243.97/x
  3. Step 3: Cross multiply
    590.61x = 886.09 × 243.97
  4. Step 4: Simplify right side
    590.61x = 216,178.04
  5. Step 5: Solve for x
    x = 216,178.04/590.61
  6. Step 6: Final answer
    x = 366.02

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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.