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Finding the Fourth Proportional to 177.28, 244.64 and 99.64

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Solution

The fourth proportional to 177.28, 244.64 and 99.64 is: 137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.28 : 244.64 = 99.64 : x
  2. Step 2: Convert to fraction form
    177.28/244.64 = 99.64/x
  3. Step 3: Cross multiply
    177.28x = 244.64 × 99.64
  4. Step 4: Simplify right side
    177.28x = 24,375.93
  5. Step 5: Solve for x
    x = 24,375.93/177.28
  6. Step 6: Final answer
    x = 137.50

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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.