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Finding the Fourth Proportional to 394.32, 543.99 and 228.49

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Solution

The fourth proportional to 394.32, 543.99 and 228.49 is: 315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.32 : 543.99 = 228.49 : x
  2. Step 2: Convert to fraction form
    394.32/543.99 = 228.49/x
  3. Step 3: Cross multiply
    394.32x = 543.99 × 228.49
  4. Step 4: Simplify right side
    394.32x = 124,296.90
  5. Step 5: Solve for x
    x = 124,296.90/394.32
  6. Step 6: Final answer
    x = 315.22

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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.