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Finding the Fourth Proportional to 142.34, 214.11 and 141.12

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Solution

The fourth proportional to 142.34, 214.11 and 141.12 is: 212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.34 : 214.11 = 141.12 : x
  2. Step 2: Convert to fraction form
    142.34/214.11 = 141.12/x
  3. Step 3: Cross multiply
    142.34x = 214.11 × 141.12
  4. Step 4: Simplify right side
    142.34x = 30,215.20
  5. Step 5: Solve for x
    x = 30,215.20/142.34
  6. Step 6: Final answer
    x = 212.28

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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.