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Finding the Fourth Proportional to 110.96, 152.80 and 86.35

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Solution

The fourth proportional to 110.96, 152.80 and 86.35 is: 118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.96 : 152.80 = 86.35 : x
  2. Step 2: Convert to fraction form
    110.96/152.80 = 86.35/x
  3. Step 3: Cross multiply
    110.96x = 152.80 × 86.35
  4. Step 4: Simplify right side
    110.96x = 13,194.28
  5. Step 5: Solve for x
    x = 13,194.28/110.96
  6. Step 6: Final answer
    x = 118.91

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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.