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Finding the Fourth Proportional to 191.17, 285.44 and 132.94

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Solution

The fourth proportional to 191.17, 285.44 and 132.94 is: 198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.17 : 285.44 = 132.94 : x
  2. Step 2: Convert to fraction form
    191.17/285.44 = 132.94/x
  3. Step 3: Cross multiply
    191.17x = 285.44 × 132.94
  4. Step 4: Simplify right side
    191.17x = 37,946.39
  5. Step 5: Solve for x
    x = 37,946.39/191.17
  6. Step 6: Final answer
    x = 198.50

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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.