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Finding the Fourth Proportional to 177.39, 244.77 and 99.75

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Solution

The fourth proportional to 177.39, 244.77 and 99.75 is: 137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.39 : 244.77 = 99.75 : x
  2. Step 2: Convert to fraction form
    177.39/244.77 = 99.75/x
  3. Step 3: Cross multiply
    177.39x = 244.77 × 99.75
  4. Step 4: Simplify right side
    177.39x = 24,415.81
  5. Step 5: Solve for x
    x = 24,415.81/177.39
  6. Step 6: Final answer
    x = 137.64

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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.