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Finding the Fourth Proportional to 117.12, 176.71 and 113.08

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Solution

The fourth proportional to 117.12, 176.71 and 113.08 is: 170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.12 : 176.71 = 113.08 : x
  2. Step 2: Convert to fraction form
    117.12/176.71 = 113.08/x
  3. Step 3: Cross multiply
    117.12x = 176.71 × 113.08
  4. Step 4: Simplify right side
    117.12x = 19,982.37
  5. Step 5: Solve for x
    x = 19,982.37/117.12
  6. Step 6: Final answer
    x = 170.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.