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Finding the Fourth Proportional to 278.09, 384.15 and 216.71

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Solution

The fourth proportional to 278.09, 384.15 and 216.71 is: 299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.09 : 384.15 = 216.71 : x
  2. Step 2: Convert to fraction form
    278.09/384.15 = 216.71/x
  3. Step 3: Cross multiply
    278.09x = 384.15 × 216.71
  4. Step 4: Simplify right side
    278.09x = 83,246.14
  5. Step 5: Solve for x
    x = 83,246.14/278.09
  6. Step 6: Final answer
    x = 299.36

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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.