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Finding the Fourth Proportional to 297.87, 410.13 and 253.52

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Solution

The fourth proportional to 297.87, 410.13 and 253.52 is: 349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.87 : 410.13 = 253.52 : x
  2. Step 2: Convert to fraction form
    297.87/410.13 = 253.52/x
  3. Step 3: Cross multiply
    297.87x = 410.13 × 253.52
  4. Step 4: Simplify right side
    297.87x = 103,976.16
  5. Step 5: Solve for x
    x = 103,976.16/297.87
  6. Step 6: Final answer
    x = 349.07

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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.