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Finding the Fourth Proportional to 243.15, 333.75 and 224.67

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Solution

The fourth proportional to 243.15, 333.75 and 224.67 is: 308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.15 : 333.75 = 224.67 : x
  2. Step 2: Convert to fraction form
    243.15/333.75 = 224.67/x
  3. Step 3: Cross multiply
    243.15x = 333.75 × 224.67
  4. Step 4: Simplify right side
    243.15x = 74,983.61
  5. Step 5: Solve for x
    x = 74,983.61/243.15
  6. Step 6: Final answer
    x = 308.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.