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Finding the Fourth Proportional to 177.78, 245.36 and 99.11

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Solution

The fourth proportional to 177.78, 245.36 and 99.11 is: 136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.78 : 245.36 = 99.11 : x
  2. Step 2: Convert to fraction form
    177.78/245.36 = 99.11/x
  3. Step 3: Cross multiply
    177.78x = 245.36 × 99.11
  4. Step 4: Simplify right side
    177.78x = 24,315.91
  5. Step 5: Solve for x
    x = 24,315.91/177.78
  6. Step 6: Final answer
    x = 136.78

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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.