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Finding the Fourth Proportional to 191.52, 285.21 and 179.84

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Solution

The fourth proportional to 191.52, 285.21 and 179.84 is: 267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.52 : 285.21 = 179.84 : x
  2. Step 2: Convert to fraction form
    191.52/285.21 = 179.84/x
  3. Step 3: Cross multiply
    191.52x = 285.21 × 179.84
  4. Step 4: Simplify right side
    191.52x = 51,292.17
  5. Step 5: Solve for x
    x = 51,292.17/191.52
  6. Step 6: Final answer
    x = 267.82

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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.