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Finding the Fourth Proportional to 240.46, 360.54 and 118.78

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Solution

The fourth proportional to 240.46, 360.54 and 118.78 is: 178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.46 : 360.54 = 118.78 : x
  2. Step 2: Convert to fraction form
    240.46/360.54 = 118.78/x
  3. Step 3: Cross multiply
    240.46x = 360.54 × 118.78
  4. Step 4: Simplify right side
    240.46x = 42,824.94
  5. Step 5: Solve for x
    x = 42,824.94/240.46
  6. Step 6: Final answer
    x = 178.10

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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.