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Finding the Fourth Proportional to 142.22, 214.61 and 137.13

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Solution

The fourth proportional to 142.22, 214.61 and 137.13 is: 206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.22 : 214.61 = 137.13 : x
  2. Step 2: Convert to fraction form
    142.22/214.61 = 137.13/x
  3. Step 3: Cross multiply
    142.22x = 214.61 × 137.13
  4. Step 4: Simplify right side
    142.22x = 29,429.47
  5. Step 5: Solve for x
    x = 29,429.47/142.22
  6. Step 6: Final answer
    x = 206.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.