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Finding the Fourth Proportional to 394.13, 543.94 and 228.31

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Solution

The fourth proportional to 394.13, 543.94 and 228.31 is: 315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.13 : 543.94 = 228.31 : x
  2. Step 2: Convert to fraction form
    394.13/543.94 = 228.31/x
  3. Step 3: Cross multiply
    394.13x = 543.94 × 228.31
  4. Step 4: Simplify right side
    394.13x = 124,186.94
  5. Step 5: Solve for x
    x = 124,186.94/394.13
  6. Step 6: Final answer
    x = 315.09

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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.