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Finding the Fourth Proportional to 195.99, 294.06 and 87.71

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Solution

The fourth proportional to 195.99, 294.06 and 87.71 is: 131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.99 : 294.06 = 87.71 : x
  2. Step 2: Convert to fraction form
    195.99/294.06 = 87.71/x
  3. Step 3: Cross multiply
    195.99x = 294.06 × 87.71
  4. Step 4: Simplify right side
    195.99x = 25,792.00
  5. Step 5: Solve for x
    x = 25,792.00/195.99
  6. Step 6: Final answer
    x = 131.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.