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Finding the Fourth Proportional to 297.90, 409.92 and 256.28

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Solution

The fourth proportional to 297.90, 409.92 and 256.28 is: 352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.90 : 409.92 = 256.28 : x
  2. Step 2: Convert to fraction form
    297.90/409.92 = 256.28/x
  3. Step 3: Cross multiply
    297.90x = 409.92 × 256.28
  4. Step 4: Simplify right side
    297.90x = 105,054.30
  5. Step 5: Solve for x
    x = 105,054.30/297.90
  6. Step 6: Final answer
    x = 352.65

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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.