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Finding the Fourth Proportional to 229.42, 342.43 and 202.08

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Solution

The fourth proportional to 229.42, 342.43 and 202.08 is: 301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.42 : 342.43 = 202.08 : x
  2. Step 2: Convert to fraction form
    229.42/342.43 = 202.08/x
  3. Step 3: Cross multiply
    229.42x = 342.43 × 202.08
  4. Step 4: Simplify right side
    229.42x = 69,198.25
  5. Step 5: Solve for x
    x = 69,198.25/229.42
  6. Step 6: Final answer
    x = 301.62

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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.