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Finding the Fourth Proportional to 170.78, 235.91 and 131.49

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Solution

The fourth proportional to 170.78, 235.91 and 131.49 is: 181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.78 : 235.91 = 131.49 : x
  2. Step 2: Convert to fraction form
    170.78/235.91 = 131.49/x
  3. Step 3: Cross multiply
    170.78x = 235.91 × 131.49
  4. Step 4: Simplify right side
    170.78x = 31,020.13
  5. Step 5: Solve for x
    x = 31,020.13/170.78
  6. Step 6: Final answer
    x = 181.64

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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.