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Finding the Fourth Proportional to 179.74, 248.16 and 117.61

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Solution

The fourth proportional to 179.74, 248.16 and 117.61 is: 162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.74 : 248.16 = 117.61 : x
  2. Step 2: Convert to fraction form
    179.74/248.16 = 117.61/x
  3. Step 3: Cross multiply
    179.74x = 248.16 × 117.61
  4. Step 4: Simplify right side
    179.74x = 29,186.10
  5. Step 5: Solve for x
    x = 29,186.10/179.74
  6. Step 6: Final answer
    x = 162.38

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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.