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Finding the Fourth Proportional to 119.12, 178.32 and 88.64

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Solution

The fourth proportional to 119.12, 178.32 and 88.64 is: 132.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.12 : 178.32 = 88.64 : x
  2. Step 2: Convert to fraction form
    119.12/178.32 = 88.64/x
  3. Step 3: Cross multiply
    119.12x = 178.32 × 88.64
  4. Step 4: Simplify right side
    119.12x = 15,806.28
  5. Step 5: Solve for x
    x = 15,806.28/119.12
  6. Step 6: Final answer
    x = 132.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.