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Finding the Fourth Proportional to 278.71, 384.61 and 154.37

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Solution

The fourth proportional to 278.71, 384.61 and 154.37 is: 213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.71 : 384.61 = 154.37 : x
  2. Step 2: Convert to fraction form
    278.71/384.61 = 154.37/x
  3. Step 3: Cross multiply
    278.71x = 384.61 × 154.37
  4. Step 4: Simplify right side
    278.71x = 59,370.41
  5. Step 5: Solve for x
    x = 59,370.41/278.71
  6. Step 6: Final answer
    x = 213.02

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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.