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Finding the Fourth Proportional to 240.14, 360 and 178.18

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Solution

The fourth proportional to 240.14, 360 and 178.18 is: 267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.14 : 360 = 178.18 : x
  2. Step 2: Convert to fraction form
    240.14/360 = 178.18/x
  3. Step 3: Cross multiply
    240.14x = 360 × 178.18
  4. Step 4: Simplify right side
    240.14x = 64,143.90
  5. Step 5: Solve for x
    x = 64,143.90/240.14
  6. Step 6: Final answer
    x = 267.11

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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.