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Finding the Fourth Proportional to 179.78, 248.00 and 159.05

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Solution

The fourth proportional to 179.78, 248.00 and 159.05 is: 219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.78 : 248.00 = 159.05 : x
  2. Step 2: Convert to fraction form
    179.78/248.00 = 159.05/x
  3. Step 3: Cross multiply
    179.78x = 248.00 × 159.05
  4. Step 4: Simplify right side
    179.78x = 39,444.22
  5. Step 5: Solve for x
    x = 39,444.22/179.78
  6. Step 6: Final answer
    x = 219.41

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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.