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Finding the Fourth Proportional to 141.27, 212.09 and 103.20

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Solution

The fourth proportional to 141.27, 212.09 and 103.20 is: 154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.27 : 212.09 = 103.20 : x
  2. Step 2: Convert to fraction form
    141.27/212.09 = 103.20/x
  3. Step 3: Cross multiply
    141.27x = 212.09 × 103.20
  4. Step 4: Simplify right side
    141.27x = 21,887.17
  5. Step 5: Solve for x
    x = 21,887.17/141.27
  6. Step 6: Final answer
    x = 154.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.