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Finding the Fourth Proportional to 278.87, 384.90 and 213.53

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Solution

The fourth proportional to 278.87, 384.90 and 213.53 is: 294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.87 : 384.90 = 213.53 : x
  2. Step 2: Convert to fraction form
    278.87/384.90 = 213.53/x
  3. Step 3: Cross multiply
    278.87x = 384.90 × 213.53
  4. Step 4: Simplify right side
    278.87x = 82,187.70
  5. Step 5: Solve for x
    x = 82,187.70/278.87
  6. Step 6: Final answer
    x = 294.72

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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.