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Finding the Fourth Proportional to 486.89, 730.10 and 178.53

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Solution

The fourth proportional to 486.89, 730.10 and 178.53 is: 267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.89 : 730.10 = 178.53 : x
  2. Step 2: Convert to fraction form
    486.89/730.10 = 178.53/x
  3. Step 3: Cross multiply
    486.89x = 730.10 × 178.53
  4. Step 4: Simplify right side
    486.89x = 130,344.75
  5. Step 5: Solve for x
    x = 130,344.75/486.89
  6. Step 6: Final answer
    x = 267.71

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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.