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Finding the Fourth Proportional to 131.84, 196.86 and 118.04

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Solution

The fourth proportional to 131.84, 196.86 and 118.04 is: 176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.84 : 196.86 = 118.04 : x
  2. Step 2: Convert to fraction form
    131.84/196.86 = 118.04/x
  3. Step 3: Cross multiply
    131.84x = 196.86 × 118.04
  4. Step 4: Simplify right side
    131.84x = 23,237.35
  5. Step 5: Solve for x
    x = 23,237.35/131.84
  6. Step 6: Final answer
    x = 176.25

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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.