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Finding the Fourth Proportional to 88.32, 120.75 and 85.80

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Solution

The fourth proportional to 88.32, 120.75 and 85.80 is: 117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.32 : 120.75 = 85.80 : x
  2. Step 2: Convert to fraction form
    88.32/120.75 = 85.80/x
  3. Step 3: Cross multiply
    88.32x = 120.75 × 85.80
  4. Step 4: Simplify right side
    88.32x = 10,360.35
  5. Step 5: Solve for x
    x = 10,360.35/88.32
  6. Step 6: Final answer
    x = 117.30

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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.