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Finding the Fourth Proportional to 278.47, 384.14 and 179.01

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Solution

The fourth proportional to 278.47, 384.14 and 179.01 is: 246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.47 : 384.14 = 179.01 : x
  2. Step 2: Convert to fraction form
    278.47/384.14 = 179.01/x
  3. Step 3: Cross multiply
    278.47x = 384.14 × 179.01
  4. Step 4: Simplify right side
    278.47x = 68,765.35
  5. Step 5: Solve for x
    x = 68,765.35/278.47
  6. Step 6: Final answer
    x = 246.94

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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.