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Finding the Fourth Proportional to 590.85, 885.87 and 266.04

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Solution

The fourth proportional to 590.85, 885.87 and 266.04 is: 398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.85 : 885.87 = 266.04 : x
  2. Step 2: Convert to fraction form
    590.85/885.87 = 266.04/x
  3. Step 3: Cross multiply
    590.85x = 885.87 × 266.04
  4. Step 4: Simplify right side
    590.85x = 235,676.85
  5. Step 5: Solve for x
    x = 235,676.85/590.85
  6. Step 6: Final answer
    x = 398.88

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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.