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Finding the Fourth Proportional to 591.08, 886.71 and 266.54

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Solution

The fourth proportional to 591.08, 886.71 and 266.54 is: 399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.08 : 886.71 = 266.54 : x
  2. Step 2: Convert to fraction form
    591.08/886.71 = 266.54/x
  3. Step 3: Cross multiply
    591.08x = 886.71 × 266.54
  4. Step 4: Simplify right side
    591.08x = 236,343.68
  5. Step 5: Solve for x
    x = 236,343.68/591.08
  6. Step 6: Final answer
    x = 399.85

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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.