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Finding the Fourth Proportional to 590.62, 886.02 and 205.78

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Solution

The fourth proportional to 590.62, 886.02 and 205.78 is: 308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.62 : 886.02 = 205.78 : x
  2. Step 2: Convert to fraction form
    590.62/886.02 = 205.78/x
  3. Step 3: Cross multiply
    590.62x = 886.02 × 205.78
  4. Step 4: Simplify right side
    590.62x = 182,325.20
  5. Step 5: Solve for x
    x = 182,325.20/590.62
  6. Step 6: Final answer
    x = 308.70

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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.