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Finding the Fourth Proportional to 88.64, 121.69 and 76.35

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Solution

The fourth proportional to 88.64, 121.69 and 76.35 is: 104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.64 : 121.69 = 76.35 : x
  2. Step 2: Convert to fraction form
    88.64/121.69 = 76.35/x
  3. Step 3: Cross multiply
    88.64x = 121.69 × 76.35
  4. Step 4: Simplify right side
    88.64x = 9,291.58
  5. Step 5: Solve for x
    x = 9,291.58/88.64
  6. Step 6: Final answer
    x = 104.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.