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Finding the Fourth Proportional to 119.64, 180.30 and 101.82

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Solution

The fourth proportional to 119.64, 180.30 and 101.82 is: 153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.64 : 180.30 = 101.82 : x
  2. Step 2: Convert to fraction form
    119.64/180.30 = 101.82/x
  3. Step 3: Cross multiply
    119.64x = 180.30 × 101.82
  4. Step 4: Simplify right side
    119.64x = 18,358.15
  5. Step 5: Solve for x
    x = 18,358.15/119.64
  6. Step 6: Final answer
    x = 153.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.