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Finding the Fourth Proportional to 88.22, 121.81 and 69.77

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Solution

The fourth proportional to 88.22, 121.81 and 69.77 is: 96.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.22 : 121.81 = 69.77 : x
  2. Step 2: Convert to fraction form
    88.22/121.81 = 69.77/x
  3. Step 3: Cross multiply
    88.22x = 121.81 × 69.77
  4. Step 4: Simplify right side
    88.22x = 8,498.68
  5. Step 5: Solve for x
    x = 8,498.68/88.22
  6. Step 6: Final answer
    x = 96.34

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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.