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Finding the Fourth Proportional to 120.07, 180.09 and 34.57

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Solution

The fourth proportional to 120.07, 180.09 and 34.57 is: 51.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.07 : 180.09 = 34.57 : x
  2. Step 2: Convert to fraction form
    120.07/180.09 = 34.57/x
  3. Step 3: Cross multiply
    120.07x = 180.09 × 34.57
  4. Step 4: Simplify right side
    120.07x = 6,225.71
  5. Step 5: Solve for x
    x = 6,225.71/120.07
  6. Step 6: Final answer
    x = 51.85

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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.