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Finding the Fourth Proportional to 342.31, 472.36 and 202.48

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Solution

The fourth proportional to 342.31, 472.36 and 202.48 is: 279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.31 : 472.36 = 202.48 : x
  2. Step 2: Convert to fraction form
    342.31/472.36 = 202.48/x
  3. Step 3: Cross multiply
    342.31x = 472.36 × 202.48
  4. Step 4: Simplify right side
    342.31x = 95,642.44
  5. Step 5: Solve for x
    x = 95,642.44/342.31
  6. Step 6: Final answer
    x = 279.40

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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.