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Finding the Fourth Proportional to 131.98, 196.81 and 117.52

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Solution

The fourth proportional to 131.98, 196.81 and 117.52 is: 175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.98 : 196.81 = 117.52 : x
  2. Step 2: Convert to fraction form
    131.98/196.81 = 117.52/x
  3. Step 3: Cross multiply
    131.98x = 196.81 × 117.52
  4. Step 4: Simplify right side
    131.98x = 23,129.11
  5. Step 5: Solve for x
    x = 23,129.11/131.98
  6. Step 6: Final answer
    x = 175.25

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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.