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Finding the Fourth Proportional to 378.54, 522.81 and 354.42

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Solution

The fourth proportional to 378.54, 522.81 and 354.42 is: 489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.54 : 522.81 = 354.42 : x
  2. Step 2: Convert to fraction form
    378.54/522.81 = 354.42/x
  3. Step 3: Cross multiply
    378.54x = 522.81 × 354.42
  4. Step 4: Simplify right side
    378.54x = 185,294.32
  5. Step 5: Solve for x
    x = 185,294.32/378.54
  6. Step 6: Final answer
    x = 489.50

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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.