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Finding the Fourth Proportional to 342.35, 472.43 and 202.49

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Solution

The fourth proportional to 342.35, 472.43 and 202.49 is: 279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.35 : 472.43 = 202.49 : x
  2. Step 2: Convert to fraction form
    342.35/472.43 = 202.49/x
  3. Step 3: Cross multiply
    342.35x = 472.43 × 202.49
  4. Step 4: Simplify right side
    342.35x = 95,662.35
  5. Step 5: Solve for x
    x = 95,662.35/342.35
  6. Step 6: Final answer
    x = 279.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.