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Finding the Fourth Proportional to 297.47, 410.64 and 199.29

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Solution

The fourth proportional to 297.47, 410.64 and 199.29 is: 275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.47 : 410.64 = 199.29 : x
  2. Step 2: Convert to fraction form
    297.47/410.64 = 199.29/x
  3. Step 3: Cross multiply
    297.47x = 410.64 × 199.29
  4. Step 4: Simplify right side
    297.47x = 81,836.45
  5. Step 5: Solve for x
    x = 81,836.45/297.47
  6. Step 6: Final answer
    x = 275.11

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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.