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Finding the Fourth Proportional to 142.19, 212.94 and 138.08

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Solution

The fourth proportional to 142.19, 212.94 and 138.08 is: 206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.19 : 212.94 = 138.08 : x
  2. Step 2: Convert to fraction form
    142.19/212.94 = 138.08/x
  3. Step 3: Cross multiply
    142.19x = 212.94 × 138.08
  4. Step 4: Simplify right side
    142.19x = 29,403.29
  5. Step 5: Solve for x
    x = 29,403.29/142.19
  6. Step 6: Final answer
    x = 206.79

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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.