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Finding the Fourth Proportional to 240.16, 357.96 and 226.49

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Solution

The fourth proportional to 240.16, 357.96 and 226.49 is: 337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.16 : 357.96 = 226.49 : x
  2. Step 2: Convert to fraction form
    240.16/357.96 = 226.49/x
  3. Step 3: Cross multiply
    240.16x = 357.96 × 226.49
  4. Step 4: Simplify right side
    240.16x = 81,073.23
  5. Step 5: Solve for x
    x = 81,073.23/240.16
  6. Step 6: Final answer
    x = 337.58

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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.