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Finding the Fourth Proportional to 318.77, 440.22 and 284.39

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Solution

The fourth proportional to 318.77, 440.22 and 284.39 is: 392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.77 : 440.22 = 284.39 : x
  2. Step 2: Convert to fraction form
    318.77/440.22 = 284.39/x
  3. Step 3: Cross multiply
    318.77x = 440.22 × 284.39
  4. Step 4: Simplify right side
    318.77x = 125,194.17
  5. Step 5: Solve for x
    x = 125,194.17/318.77
  6. Step 6: Final answer
    x = 392.74

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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.