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Finding the Fourth Proportional to 84.69, 126.40 and 76.98

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Solution

The fourth proportional to 84.69, 126.40 and 76.98 is: 114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.69 : 126.40 = 76.98 : x
  2. Step 2: Convert to fraction form
    84.69/126.40 = 76.98/x
  3. Step 3: Cross multiply
    84.69x = 126.40 × 76.98
  4. Step 4: Simplify right side
    84.69x = 9,730.08
  5. Step 5: Solve for x
    x = 9,730.08/84.69
  6. Step 6: Final answer
    x = 114.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.