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Finding the Fourth Proportional to 131.42, 196.06 and 130.50

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Solution

The fourth proportional to 131.42, 196.06 and 130.50 is: 194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.42 : 196.06 = 130.50 : x
  2. Step 2: Convert to fraction form
    131.42/196.06 = 130.50/x
  3. Step 3: Cross multiply
    131.42x = 196.06 × 130.50
  4. Step 4: Simplify right side
    131.42x = 25,585.83
  5. Step 5: Solve for x
    x = 25,585.83/131.42
  6. Step 6: Final answer
    x = 194.69

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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.