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Finding the Fourth Proportional to 240.75, 360.90 and 118.89

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Solution

The fourth proportional to 240.75, 360.90 and 118.89 is: 178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.75 : 360.90 = 118.89 : x
  2. Step 2: Convert to fraction form
    240.75/360.90 = 118.89/x
  3. Step 3: Cross multiply
    240.75x = 360.90 × 118.89
  4. Step 4: Simplify right side
    240.75x = 42,907.40
  5. Step 5: Solve for x
    x = 42,907.40/240.75
  6. Step 6: Final answer
    x = 178.22

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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.