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Finding the Fourth Proportional to 191.96, 265.17 and 152.87

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Solution

The fourth proportional to 191.96, 265.17 and 152.87 is: 211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.96 : 265.17 = 152.87 : x
  2. Step 2: Convert to fraction form
    191.96/265.17 = 152.87/x
  3. Step 3: Cross multiply
    191.96x = 265.17 × 152.87
  4. Step 4: Simplify right side
    191.96x = 40,536.54
  5. Step 5: Solve for x
    x = 40,536.54/191.96
  6. Step 6: Final answer
    x = 211.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.