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Finding the Fourth Proportional to 141.80, 214 and 138.15

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Solution

The fourth proportional to 141.80, 214 and 138.15 is: 208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.80 : 214 = 138.15 : x
  2. Step 2: Convert to fraction form
    141.80/214 = 138.15/x
  3. Step 3: Cross multiply
    141.80x = 214 × 138.15
  4. Step 4: Simplify right side
    141.80x = 29,564.10
  5. Step 5: Solve for x
    x = 29,564.10/141.80
  6. Step 6: Final answer
    x = 208.50

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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.