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Finding the Fourth Proportional to 342.28, 469.31 and 337.96

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Solution

The fourth proportional to 342.28, 469.31 and 337.96 is: 463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.28 : 469.31 = 337.96 : x
  2. Step 2: Convert to fraction form
    342.28/469.31 = 337.96/x
  3. Step 3: Cross multiply
    342.28x = 469.31 × 337.96
  4. Step 4: Simplify right side
    342.28x = 158,608.01
  5. Step 5: Solve for x
    x = 158,608.01/342.28
  6. Step 6: Final answer
    x = 463.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.