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Finding the Fourth Proportional to 179.95, 271.30 and 177.65

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Solution

The fourth proportional to 179.95, 271.30 and 177.65 is: 267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.95 : 271.30 = 177.65 : x
  2. Step 2: Convert to fraction form
    179.95/271.30 = 177.65/x
  3. Step 3: Cross multiply
    179.95x = 271.30 × 177.65
  4. Step 4: Simplify right side
    179.95x = 48,196.45
  5. Step 5: Solve for x
    x = 48,196.45/179.95
  6. Step 6: Final answer
    x = 267.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.