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Finding the Fourth Proportional to 297.99, 410.87 and 256.47

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Solution

The fourth proportional to 297.99, 410.87 and 256.47 is: 353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.99 : 410.87 = 256.47 : x
  2. Step 2: Convert to fraction form
    297.99/410.87 = 256.47/x
  3. Step 3: Cross multiply
    297.99x = 410.87 × 256.47
  4. Step 4: Simplify right side
    297.99x = 105,376.28
  5. Step 5: Solve for x
    x = 105,376.28/297.99
  6. Step 6: Final answer
    x = 353.62

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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.