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Finding the Fourth Proportional to 120.06, 178.98 and 118.70

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Solution

The fourth proportional to 120.06, 178.98 and 118.70 is: 176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.06 : 178.98 = 118.70 : x
  2. Step 2: Convert to fraction form
    120.06/178.98 = 118.70/x
  3. Step 3: Cross multiply
    120.06x = 178.98 × 118.70
  4. Step 4: Simplify right side
    120.06x = 21,244.13
  5. Step 5: Solve for x
    x = 21,244.13/120.06
  6. Step 6: Final answer
    x = 176.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.