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Finding the Fourth Proportional to 394.13, 543.85 and 228.36

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Solution

The fourth proportional to 394.13, 543.85 and 228.36 is: 315.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.13 : 543.85 = 228.36 : x
  2. Step 2: Convert to fraction form
    394.13/543.85 = 228.36/x
  3. Step 3: Cross multiply
    394.13x = 543.85 × 228.36
  4. Step 4: Simplify right side
    394.13x = 124,193.02
  5. Step 5: Solve for x
    x = 124,193.02/394.13
  6. Step 6: Final answer
    x = 315.10

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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.