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Finding the Fourth Proportional to 294.71, 404.77 and 276.64

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Solution

The fourth proportional to 294.71, 404.77 and 276.64 is: 379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.71 : 404.77 = 276.64 : x
  2. Step 2: Convert to fraction form
    294.71/404.77 = 276.64/x
  3. Step 3: Cross multiply
    294.71x = 404.77 × 276.64
  4. Step 4: Simplify right side
    294.71x = 111,975.57
  5. Step 5: Solve for x
    x = 111,975.57/294.71
  6. Step 6: Final answer
    x = 379.95

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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.