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Finding the Fourth Proportional to 116.39, 174.25 and 77.77

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Solution

The fourth proportional to 116.39, 174.25 and 77.77 is: 116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.39 : 174.25 = 77.77 : x
  2. Step 2: Convert to fraction form
    116.39/174.25 = 77.77/x
  3. Step 3: Cross multiply
    116.39x = 174.25 × 77.77
  4. Step 4: Simplify right side
    116.39x = 13,551.74
  5. Step 5: Solve for x
    x = 13,551.74/116.39
  6. Step 6: Final answer
    x = 116.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.