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Finding the Fourth Proportional to 278.83, 384.36 and 219.72

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Solution

The fourth proportional to 278.83, 384.36 and 219.72 is: 302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.83 : 384.36 = 219.72 : x
  2. Step 2: Convert to fraction form
    278.83/384.36 = 219.72/x
  3. Step 3: Cross multiply
    278.83x = 384.36 × 219.72
  4. Step 4: Simplify right side
    278.83x = 84,450.81
  5. Step 5: Solve for x
    x = 84,450.81/278.83
  6. Step 6: Final answer
    x = 302.87

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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.