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Finding the Fourth Proportional to 179.09, 266.86 and 159.95

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Solution

The fourth proportional to 179.09, 266.86 and 159.95 is: 238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.09 : 266.86 = 159.95 : x
  2. Step 2: Convert to fraction form
    179.09/266.86 = 159.95/x
  3. Step 3: Cross multiply
    179.09x = 266.86 × 159.95
  4. Step 4: Simplify right side
    179.09x = 42,682.52
  5. Step 5: Solve for x
    x = 42,682.52/179.09
  6. Step 6: Final answer
    x = 238.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.