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Finding the Fourth Proportional to 297.14, 409.05 and 256.25

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Solution

The fourth proportional to 297.14, 409.05 and 256.25 is: 352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.14 : 409.05 = 256.25 : x
  2. Step 2: Convert to fraction form
    297.14/409.05 = 256.25/x
  3. Step 3: Cross multiply
    297.14x = 409.05 × 256.25
  4. Step 4: Simplify right side
    297.14x = 104,819.06
  5. Step 5: Solve for x
    x = 104,819.06/297.14
  6. Step 6: Final answer
    x = 352.76

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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.