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Finding the Fourth Proportional to 240.25, 359.97 and 118.35

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Solution

The fourth proportional to 240.25, 359.97 and 118.35 is: 177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.25 : 359.97 = 118.35 : x
  2. Step 2: Convert to fraction form
    240.25/359.97 = 118.35/x
  3. Step 3: Cross multiply
    240.25x = 359.97 × 118.35
  4. Step 4: Simplify right side
    240.25x = 42,600.65
  5. Step 5: Solve for x
    x = 42,600.65/240.25
  6. Step 6: Final answer
    x = 177.32

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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.