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Finding the Fourth Proportional to 280.56, 386.92 and 177.20

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Solution

The fourth proportional to 280.56, 386.92 and 177.20 is: 244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.56 : 386.92 = 177.20 : x
  2. Step 2: Convert to fraction form
    280.56/386.92 = 177.20/x
  3. Step 3: Cross multiply
    280.56x = 386.92 × 177.20
  4. Step 4: Simplify right side
    280.56x = 68,562.22
  5. Step 5: Solve for x
    x = 68,562.22/280.56
  6. Step 6: Final answer
    x = 244.38

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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.