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Finding the Fourth Proportional to 298.72, 412.38 and 199.30

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Solution

The fourth proportional to 298.72, 412.38 and 199.30 is: 275.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.72 : 412.38 = 199.30 : x
  2. Step 2: Convert to fraction form
    298.72/412.38 = 199.30/x
  3. Step 3: Cross multiply
    298.72x = 412.38 × 199.30
  4. Step 4: Simplify right side
    298.72x = 82,186.30
  5. Step 5: Solve for x
    x = 82,186.30/298.72
  6. Step 6: Final answer
    x = 275.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.