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Finding the Fourth Proportional to 131.63, 196.51 and 112.37

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Solution

The fourth proportional to 131.63, 196.51 and 112.37 is: 167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.63 : 196.51 = 112.37 : x
  2. Step 2: Convert to fraction form
    131.63/196.51 = 112.37/x
  3. Step 3: Cross multiply
    131.63x = 196.51 × 112.37
  4. Step 4: Simplify right side
    131.63x = 22,083.18
  5. Step 5: Solve for x
    x = 22,083.18/131.63
  6. Step 6: Final answer
    x = 167.77

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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.