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Finding the Fourth Proportional to 297.78, 408.72 and 258.90

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Solution

The fourth proportional to 297.78, 408.72 and 258.90 is: 355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.78 : 408.72 = 258.90 : x
  2. Step 2: Convert to fraction form
    297.78/408.72 = 258.90/x
  3. Step 3: Cross multiply
    297.78x = 408.72 × 258.90
  4. Step 4: Simplify right side
    297.78x = 105,817.61
  5. Step 5: Solve for x
    x = 105,817.61/297.78
  6. Step 6: Final answer
    x = 355.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.