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Finding the Fourth Proportional to 119.64, 179.40 and 89.16

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Solution

The fourth proportional to 119.64, 179.40 and 89.16 is: 133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.64 : 179.40 = 89.16 : x
  2. Step 2: Convert to fraction form
    119.64/179.40 = 89.16/x
  3. Step 3: Cross multiply
    119.64x = 179.40 × 89.16
  4. Step 4: Simplify right side
    119.64x = 15,995.30
  5. Step 5: Solve for x
    x = 15,995.30/119.64
  6. Step 6: Final answer
    x = 133.70

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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.