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Finding the Fourth Proportional to 278.52, 384.12 and 203.82

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Solution

The fourth proportional to 278.52, 384.12 and 203.82 is: 281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.52 : 384.12 = 203.82 : x
  2. Step 2: Convert to fraction form
    278.52/384.12 = 203.82/x
  3. Step 3: Cross multiply
    278.52x = 384.12 × 203.82
  4. Step 4: Simplify right side
    278.52x = 78,291.34
  5. Step 5: Solve for x
    x = 78,291.34/278.52
  6. Step 6: Final answer
    x = 281.10

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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.