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Finding the Fourth Proportional to 590.67, 886.10 and 200.71

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Solution

The fourth proportional to 590.67, 886.10 and 200.71 is: 301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.67 : 886.10 = 200.71 : x
  2. Step 2: Convert to fraction form
    590.67/886.10 = 200.71/x
  3. Step 3: Cross multiply
    590.67x = 886.10 × 200.71
  4. Step 4: Simplify right side
    590.67x = 177,849.13
  5. Step 5: Solve for x
    x = 177,849.13/590.67
  6. Step 6: Final answer
    x = 301.10

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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.