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Finding the Fourth Proportional to 591.07, 886.60 and 180.21

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Solution

The fourth proportional to 591.07, 886.60 and 180.21 is: 270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.07 : 886.60 = 180.21 : x
  2. Step 2: Convert to fraction form
    591.07/886.60 = 180.21/x
  3. Step 3: Cross multiply
    591.07x = 886.60 × 180.21
  4. Step 4: Simplify right side
    591.07x = 159,773.74
  5. Step 5: Solve for x
    x = 159,773.74/591.07
  6. Step 6: Final answer
    x = 270.31

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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.