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Finding the Fourth Proportional to 206.83, 285.43 and 113.58

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Solution

The fourth proportional to 206.83, 285.43 and 113.58 is: 156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.83 : 285.43 = 113.58 : x
  2. Step 2: Convert to fraction form
    206.83/285.43 = 113.58/x
  3. Step 3: Cross multiply
    206.83x = 285.43 × 113.58
  4. Step 4: Simplify right side
    206.83x = 32,418.57
  5. Step 5: Solve for x
    x = 32,418.57/206.83
  6. Step 6: Final answer
    x = 156.74

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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.