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Finding the Fourth Proportional to 297.75, 410.75 and 224.17

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Solution

The fourth proportional to 297.75, 410.75 and 224.17 is: 309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.75 : 410.75 = 224.17 : x
  2. Step 2: Convert to fraction form
    297.75/410.75 = 224.17/x
  3. Step 3: Cross multiply
    297.75x = 410.75 × 224.17
  4. Step 4: Simplify right side
    297.75x = 92,075.89
  5. Step 5: Solve for x
    x = 92,075.89/297.75
  6. Step 6: Final answer
    x = 309.24

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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.