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Finding the Fourth Proportional to 179.66, 247.84 and 127.94

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Solution

The fourth proportional to 179.66, 247.84 and 127.94 is: 176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.66 : 247.84 = 127.94 : x
  2. Step 2: Convert to fraction form
    179.66/247.84 = 127.94/x
  3. Step 3: Cross multiply
    179.66x = 247.84 × 127.94
  4. Step 4: Simplify right side
    179.66x = 31,707.09
  5. Step 5: Solve for x
    x = 31,707.09/179.66
  6. Step 6: Final answer
    x = 176.49

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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.