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Finding the Fourth Proportional to 279.70, 384.67 and 229.34

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Solution

The fourth proportional to 279.70, 384.67 and 229.34 is: 315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.70 : 384.67 = 229.34 : x
  2. Step 2: Convert to fraction form
    279.70/384.67 = 229.34/x
  3. Step 3: Cross multiply
    279.70x = 384.67 × 229.34
  4. Step 4: Simplify right side
    279.70x = 88,220.22
  5. Step 5: Solve for x
    x = 88,220.22/279.70
  6. Step 6: Final answer
    x = 315.41

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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.