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Finding the Fourth Proportional to 590.54, 886.20 and 205.79

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Solution

The fourth proportional to 590.54, 886.20 and 205.79 is: 308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.54 : 886.20 = 205.79 : x
  2. Step 2: Convert to fraction form
    590.54/886.20 = 205.79/x
  3. Step 3: Cross multiply
    590.54x = 886.20 × 205.79
  4. Step 4: Simplify right side
    590.54x = 182,366.67
  5. Step 5: Solve for x
    x = 182,366.67/590.54
  6. Step 6: Final answer
    x = 308.82

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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.