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Finding the Fourth Proportional to 177.11, 243.84 and 154.10

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Solution

The fourth proportional to 177.11, 243.84 and 154.10 is: 212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.11 : 243.84 = 154.10 : x
  2. Step 2: Convert to fraction form
    177.11/243.84 = 154.10/x
  3. Step 3: Cross multiply
    177.11x = 243.84 × 154.10
  4. Step 4: Simplify right side
    177.11x = 37,575.74
  5. Step 5: Solve for x
    x = 37,575.74/177.11
  6. Step 6: Final answer
    x = 212.16

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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.