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Finding the Fourth Proportional to 342.56, 514.08 and 198.32

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Solution

The fourth proportional to 342.56, 514.08 and 198.32 is: 297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.56 : 514.08 = 198.32 : x
  2. Step 2: Convert to fraction form
    342.56/514.08 = 198.32/x
  3. Step 3: Cross multiply
    342.56x = 514.08 × 198.32
  4. Step 4: Simplify right side
    342.56x = 101,952.35
  5. Step 5: Solve for x
    x = 101,952.35/342.56
  6. Step 6: Final answer
    x = 297.62

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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.