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Finding the Fourth Proportional to 342.20, 512.33 and 265.30

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Solution

The fourth proportional to 342.20, 512.33 and 265.30 is: 397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.20 : 512.33 = 265.30 : x
  2. Step 2: Convert to fraction form
    342.20/512.33 = 265.30/x
  3. Step 3: Cross multiply
    342.20x = 512.33 × 265.30
  4. Step 4: Simplify right side
    342.20x = 135,918.54
  5. Step 5: Solve for x
    x = 135,918.54/342.20
  6. Step 6: Final answer
    x = 397.20

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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.