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Finding the Fourth Proportional to 141.82, 214.01 and 136.99

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Solution

The fourth proportional to 141.82, 214.01 and 136.99 is: 206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.82 : 214.01 = 136.99 : x
  2. Step 2: Convert to fraction form
    141.82/214.01 = 136.99/x
  3. Step 3: Cross multiply
    141.82x = 214.01 × 136.99
  4. Step 4: Simplify right side
    141.82x = 29,317.23
  5. Step 5: Solve for x
    x = 29,317.23/141.82
  6. Step 6: Final answer
    x = 206.72

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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.