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Finding the Fourth Proportional to 142.84, 213.85 and 74.21

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Solution

The fourth proportional to 142.84, 213.85 and 74.21 is: 111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.84 : 213.85 = 74.21 : x
  2. Step 2: Convert to fraction form
    142.84/213.85 = 74.21/x
  3. Step 3: Cross multiply
    142.84x = 213.85 × 74.21
  4. Step 4: Simplify right side
    142.84x = 15,869.81
  5. Step 5: Solve for x
    x = 15,869.81/142.84
  6. Step 6: Final answer
    x = 111.10

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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.