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Finding the Fourth Proportional to 342.31, 512.42 and 265.09

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Solution

The fourth proportional to 342.31, 512.42 and 265.09 is: 396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.31 : 512.42 = 265.09 : x
  2. Step 2: Convert to fraction form
    342.31/512.42 = 265.09/x
  3. Step 3: Cross multiply
    342.31x = 512.42 × 265.09
  4. Step 4: Simplify right side
    342.31x = 135,834.81
  5. Step 5: Solve for x
    x = 135,834.81/342.31
  6. Step 6: Final answer
    x = 396.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.