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Finding the Fourth Proportional to 342.40, 512.48 and 198.08

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Solution

The fourth proportional to 342.40, 512.48 and 198.08 is: 296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.40 : 512.48 = 198.08 : x
  2. Step 2: Convert to fraction form
    342.40/512.48 = 198.08/x
  3. Step 3: Cross multiply
    342.40x = 512.48 × 198.08
  4. Step 4: Simplify right side
    342.40x = 101,512.04
  5. Step 5: Solve for x
    x = 101,512.04/342.40
  6. Step 6: Final answer
    x = 296.47

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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.