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Finding the Fourth Proportional to 297.71, 410.98 and 199.53

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Solution

The fourth proportional to 297.71, 410.98 and 199.53 is: 275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.71 : 410.98 = 199.53 : x
  2. Step 2: Convert to fraction form
    297.71/410.98 = 199.53/x
  3. Step 3: Cross multiply
    297.71x = 410.98 × 199.53
  4. Step 4: Simplify right side
    297.71x = 82,002.84
  5. Step 5: Solve for x
    x = 82,002.84/297.71
  6. Step 6: Final answer
    x = 275.45

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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.