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Finding the Fourth Proportional to 141.93, 211.71 and 138.28

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Solution

The fourth proportional to 141.93, 211.71 and 138.28 is: 206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.93 : 211.71 = 138.28 : x
  2. Step 2: Convert to fraction form
    141.93/211.71 = 138.28/x
  3. Step 3: Cross multiply
    141.93x = 211.71 × 138.28
  4. Step 4: Simplify right side
    141.93x = 29,275.26
  5. Step 5: Solve for x
    x = 29,275.26/141.93
  6. Step 6: Final answer
    x = 206.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.