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Finding the Fourth Proportional to 279.52, 419.82 and 266.74

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Solution

The fourth proportional to 279.52, 419.82 and 266.74 is: 400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.52 : 419.82 = 266.74 : x
  2. Step 2: Convert to fraction form
    279.52/419.82 = 266.74/x
  3. Step 3: Cross multiply
    279.52x = 419.82 × 266.74
  4. Step 4: Simplify right side
    279.52x = 111,982.79
  5. Step 5: Solve for x
    x = 111,982.79/279.52
  6. Step 6: Final answer
    x = 400.63

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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.