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Finding the Fourth Proportional to 117.78, 175.67 and 102.44

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Solution

The fourth proportional to 117.78, 175.67 and 102.44 is: 152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.78 : 175.67 = 102.44 : x
  2. Step 2: Convert to fraction form
    117.78/175.67 = 102.44/x
  3. Step 3: Cross multiply
    117.78x = 175.67 × 102.44
  4. Step 4: Simplify right side
    117.78x = 17,995.38
  5. Step 5: Solve for x
    x = 17,995.38/117.78
  6. Step 6: Final answer
    x = 152.79

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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.