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Finding the Fourth Proportional to 279.50, 419.24 and 84.49

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Solution

The fourth proportional to 279.50, 419.24 and 84.49 is: 126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.50 : 419.24 = 84.49 : x
  2. Step 2: Convert to fraction form
    279.50/419.24 = 84.49/x
  3. Step 3: Cross multiply
    279.50x = 419.24 × 84.49
  4. Step 4: Simplify right side
    279.50x = 35,423.11
  5. Step 5: Solve for x
    x = 35,423.11/279.50
  6. Step 6: Final answer
    x = 126.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.