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Finding the Fourth Proportional to 263.79, 397.06 and 224.15

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Solution

The fourth proportional to 263.79, 397.06 and 224.15 is: 337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.79 : 397.06 = 224.15 : x
  2. Step 2: Convert to fraction form
    263.79/397.06 = 224.15/x
  3. Step 3: Cross multiply
    263.79x = 397.06 × 224.15
  4. Step 4: Simplify right side
    263.79x = 88,997.89
  5. Step 5: Solve for x
    x = 88,997.89/263.79
  6. Step 6: Final answer
    x = 337.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.