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Finding the Fourth Proportional to 279.37, 384.50 and 229.15

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Solution

The fourth proportional to 279.37, 384.50 and 229.15 is: 315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.37 : 384.50 = 229.15 : x
  2. Step 2: Convert to fraction form
    279.37/384.50 = 229.15/x
  3. Step 3: Cross multiply
    279.37x = 384.50 × 229.15
  4. Step 4: Simplify right side
    279.37x = 88,105.11
  5. Step 5: Solve for x
    x = 88,105.11/279.37
  6. Step 6: Final answer
    x = 315.38

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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.