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Finding the Fourth Proportional to 119.99, 178.76 and 114.18

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Solution

The fourth proportional to 119.99, 178.76 and 114.18 is: 170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.99 : 178.76 = 114.18 : x
  2. Step 2: Convert to fraction form
    119.99/178.76 = 114.18/x
  3. Step 3: Cross multiply
    119.99x = 178.76 × 114.18
  4. Step 4: Simplify right side
    119.99x = 20,411.30
  5. Step 5: Solve for x
    x = 20,411.30/119.99
  6. Step 6: Final answer
    x = 170.11

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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.