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Finding the Fourth Proportional to 394.02, 543.85 and 228.21

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Solution

The fourth proportional to 394.02, 543.85 and 228.21 is: 314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.02 : 543.85 = 228.21 : x
  2. Step 2: Convert to fraction form
    394.02/543.85 = 228.21/x
  3. Step 3: Cross multiply
    394.02x = 543.85 × 228.21
  4. Step 4: Simplify right side
    394.02x = 124,112.46
  5. Step 5: Solve for x
    x = 124,112.46/394.02
  6. Step 6: Final answer
    x = 314.99

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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.