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Finding the Fourth Proportional to 297.94, 448.57 and 258.25

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Solution

The fourth proportional to 297.94, 448.57 and 258.25 is: 388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.94 : 448.57 = 258.25 : x
  2. Step 2: Convert to fraction form
    297.94/448.57 = 258.25/x
  3. Step 3: Cross multiply
    297.94x = 448.57 × 258.25
  4. Step 4: Simplify right side
    297.94x = 115,843.20
  5. Step 5: Solve for x
    x = 115,843.20/297.94
  6. Step 6: Final answer
    x = 388.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.