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Finding the Fourth Proportional to 443.38, 611.61 and 293.95

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Solution

The fourth proportional to 443.38, 611.61 and 293.95 is: 405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.38 : 611.61 = 293.95 : x
  2. Step 2: Convert to fraction form
    443.38/611.61 = 293.95/x
  3. Step 3: Cross multiply
    443.38x = 611.61 × 293.95
  4. Step 4: Simplify right side
    443.38x = 179,782.76
  5. Step 5: Solve for x
    x = 179,782.76/443.38
  6. Step 6: Final answer
    x = 405.48

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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.