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Finding the Fourth Proportional to 120.33, 180.14 and 102.15

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Solution

The fourth proportional to 120.33, 180.14 and 102.15 is: 152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.33 : 180.14 = 102.15 : x
  2. Step 2: Convert to fraction form
    120.33/180.14 = 102.15/x
  3. Step 3: Cross multiply
    120.33x = 180.14 × 102.15
  4. Step 4: Simplify right side
    120.33x = 18,400.79
  5. Step 5: Solve for x
    x = 18,400.79/120.33
  6. Step 6: Final answer
    x = 152.92

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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.