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Finding the Fourth Proportional to 278.81, 384.80 and 160.82

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Solution

The fourth proportional to 278.81, 384.80 and 160.82 is: 221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.81 : 384.80 = 160.82 : x
  2. Step 2: Convert to fraction form
    278.81/384.80 = 160.82/x
  3. Step 3: Cross multiply
    278.81x = 384.80 × 160.82
  4. Step 4: Simplify right side
    278.81x = 61,882.25
  5. Step 5: Solve for x
    x = 61,882.25/278.81
  6. Step 6: Final answer
    x = 221.95

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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.