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Finding the Fourth Proportional to 142.71, 213.98 and 74.06

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Solution

The fourth proportional to 142.71, 213.98 and 74.06 is: 111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.71 : 213.98 = 74.06 : x
  2. Step 2: Convert to fraction form
    142.71/213.98 = 74.06/x
  3. Step 3: Cross multiply
    142.71x = 213.98 × 74.06
  4. Step 4: Simplify right side
    142.71x = 15,847.14
  5. Step 5: Solve for x
    x = 15,847.14/142.71
  6. Step 6: Final answer
    x = 111.05

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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.