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Finding the Fourth Proportional to 278.96, 384.62 and 213.36

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Solution

The fourth proportional to 278.96, 384.62 and 213.36 is: 294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.96 : 384.62 = 213.36 : x
  2. Step 2: Convert to fraction form
    278.96/384.62 = 213.36/x
  3. Step 3: Cross multiply
    278.96x = 384.62 × 213.36
  4. Step 4: Simplify right side
    278.96x = 82,062.52
  5. Step 5: Solve for x
    x = 82,062.52/278.96
  6. Step 6: Final answer
    x = 294.17

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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.