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Finding the Fourth Proportional to 226.70, 337.80 and 202.14

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Solution

The fourth proportional to 226.70, 337.80 and 202.14 is: 301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.70 : 337.80 = 202.14 : x
  2. Step 2: Convert to fraction form
    226.70/337.80 = 202.14/x
  3. Step 3: Cross multiply
    226.70x = 337.80 × 202.14
  4. Step 4: Simplify right side
    226.70x = 68,282.89
  5. Step 5: Solve for x
    x = 68,282.89/226.70
  6. Step 6: Final answer
    x = 301.20

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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.