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Finding the Fourth Proportional to 191.96, 286.56 and 148.38

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Solution

The fourth proportional to 191.96, 286.56 and 148.38 is: 221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.96 : 286.56 = 148.38 : x
  2. Step 2: Convert to fraction form
    191.96/286.56 = 148.38/x
  3. Step 3: Cross multiply
    191.96x = 286.56 × 148.38
  4. Step 4: Simplify right side
    191.96x = 42,519.77
  5. Step 5: Solve for x
    x = 42,519.77/191.96
  6. Step 6: Final answer
    x = 221.51

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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.