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Finding the Fourth Proportional to 141.91, 212.47 and 103.18

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Solution

The fourth proportional to 141.91, 212.47 and 103.18 is: 154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.91 : 212.47 = 103.18 : x
  2. Step 2: Convert to fraction form
    141.91/212.47 = 103.18/x
  3. Step 3: Cross multiply
    141.91x = 212.47 × 103.18
  4. Step 4: Simplify right side
    141.91x = 21,922.65
  5. Step 5: Solve for x
    x = 21,922.65/141.91
  6. Step 6: Final answer
    x = 154.48

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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.