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Finding the Fourth Proportional to 117.25, 176.56 and 94.47

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Solution

The fourth proportional to 117.25, 176.56 and 94.47 is: 142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.25 : 176.56 = 94.47 : x
  2. Step 2: Convert to fraction form
    117.25/176.56 = 94.47/x
  3. Step 3: Cross multiply
    117.25x = 176.56 × 94.47
  4. Step 4: Simplify right side
    117.25x = 16,678.74
  5. Step 5: Solve for x
    x = 16,678.74/117.25
  6. Step 6: Final answer
    x = 142.26

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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.