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Finding the Fourth Proportional to 195.30, 291.47 and 179.55

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Solution

The fourth proportional to 195.30, 291.47 and 179.55 is: 267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.30 : 291.47 = 179.55 : x
  2. Step 2: Convert to fraction form
    195.30/291.47 = 179.55/x
  3. Step 3: Cross multiply
    195.30x = 291.47 × 179.55
  4. Step 4: Simplify right side
    195.30x = 52,332.54
  5. Step 5: Solve for x
    x = 52,332.54/195.30
  6. Step 6: Final answer
    x = 267.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.