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Finding the Fourth Proportional to 206.48, 284.91 and 141.14

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Solution

The fourth proportional to 206.48, 284.91 and 141.14 is: 194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.48 : 284.91 = 141.14 : x
  2. Step 2: Convert to fraction form
    206.48/284.91 = 141.14/x
  3. Step 3: Cross multiply
    206.48x = 284.91 × 141.14
  4. Step 4: Simplify right side
    206.48x = 40,212.20
  5. Step 5: Solve for x
    x = 40,212.20/206.48
  6. Step 6: Final answer
    x = 194.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.