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Finding the Fourth Proportional to 297.75, 409.92 and 258.93

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Solution

The fourth proportional to 297.75, 409.92 and 258.93 is: 356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.75 : 409.92 = 258.93 : x
  2. Step 2: Convert to fraction form
    297.75/409.92 = 258.93/x
  3. Step 3: Cross multiply
    297.75x = 409.92 × 258.93
  4. Step 4: Simplify right side
    297.75x = 106,140.59
  5. Step 5: Solve for x
    x = 106,140.59/297.75
  6. Step 6: Final answer
    x = 356.48

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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.