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Finding the Fourth Proportional to 335.14, 462.70 and 224.78

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Solution

The fourth proportional to 335.14, 462.70 and 224.78 is: 310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.14 : 462.70 = 224.78 : x
  2. Step 2: Convert to fraction form
    335.14/462.70 = 224.78/x
  3. Step 3: Cross multiply
    335.14x = 462.70 × 224.78
  4. Step 4: Simplify right side
    335.14x = 104,005.71
  5. Step 5: Solve for x
    x = 104,005.71/335.14
  6. Step 6: Final answer
    x = 310.34

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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.