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Finding the Fourth Proportional to 575.33, 861.84 and 266.76

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Solution

The fourth proportional to 575.33, 861.84 and 266.76 is: 399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.33 : 861.84 = 266.76 : x
  2. Step 2: Convert to fraction form
    575.33/861.84 = 266.76/x
  3. Step 3: Cross multiply
    575.33x = 861.84 × 266.76
  4. Step 4: Simplify right side
    575.33x = 229,904.44
  5. Step 5: Solve for x
    x = 229,904.44/575.33
  6. Step 6: Final answer
    x = 399.61

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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.