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Finding the Fourth Proportional to 275.92, 414.72 and 180.40

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Solution

The fourth proportional to 275.92, 414.72 and 180.40 is: 271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.92 : 414.72 = 180.40 : x
  2. Step 2: Convert to fraction form
    275.92/414.72 = 180.40/x
  3. Step 3: Cross multiply
    275.92x = 414.72 × 180.40
  4. Step 4: Simplify right side
    275.92x = 74,815.49
  5. Step 5: Solve for x
    x = 74,815.49/275.92
  6. Step 6: Final answer
    x = 271.15

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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.