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Finding the Fourth Proportional to 141.78, 211.07 and 139.22

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Solution

The fourth proportional to 141.78, 211.07 and 139.22 is: 207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.78 : 211.07 = 139.22 : x
  2. Step 2: Convert to fraction form
    141.78/211.07 = 139.22/x
  3. Step 3: Cross multiply
    141.78x = 211.07 × 139.22
  4. Step 4: Simplify right side
    141.78x = 29,385.25
  5. Step 5: Solve for x
    x = 29,385.25/141.78
  6. Step 6: Final answer
    x = 207.25

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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.