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Finding the Fourth Proportional to 206.10, 284.78 and 153.86

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Solution

The fourth proportional to 206.10, 284.78 and 153.86 is: 212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.10 : 284.78 = 153.86 : x
  2. Step 2: Convert to fraction form
    206.10/284.78 = 153.86/x
  3. Step 3: Cross multiply
    206.10x = 284.78 × 153.86
  4. Step 4: Simplify right side
    206.10x = 43,815.21
  5. Step 5: Solve for x
    x = 43,815.21/206.10
  6. Step 6: Final answer
    x = 212.59

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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.