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Finding the Fourth Proportional to 394.54, 543.14 and 342.78

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Solution

The fourth proportional to 394.54, 543.14 and 342.78 is: 471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.54 : 543.14 = 342.78 : x
  2. Step 2: Convert to fraction form
    394.54/543.14 = 342.78/x
  3. Step 3: Cross multiply
    394.54x = 543.14 × 342.78
  4. Step 4: Simplify right side
    394.54x = 186,177.53
  5. Step 5: Solve for x
    x = 186,177.53/394.54
  6. Step 6: Final answer
    x = 471.89

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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.