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Finding the Fourth Proportional to 206.23, 284.61 and 118.90

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Solution

The fourth proportional to 206.23, 284.61 and 118.90 is: 164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.23 : 284.61 = 118.90 : x
  2. Step 2: Convert to fraction form
    206.23/284.61 = 118.90/x
  3. Step 3: Cross multiply
    206.23x = 284.61 × 118.90
  4. Step 4: Simplify right side
    206.23x = 33,840.26
  5. Step 5: Solve for x
    x = 33,840.26/206.23
  6. Step 6: Final answer
    x = 164.09

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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.