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Finding the Fourth Proportional to 297.45, 410.22 and 250.83

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Solution

The fourth proportional to 297.45, 410.22 and 250.83 is: 345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.45 : 410.22 = 250.83 : x
  2. Step 2: Convert to fraction form
    297.45/410.22 = 250.83/x
  3. Step 3: Cross multiply
    297.45x = 410.22 × 250.83
  4. Step 4: Simplify right side
    297.45x = 102,895.48
  5. Step 5: Solve for x
    x = 102,895.48/297.45
  6. Step 6: Final answer
    x = 345.93

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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.