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Finding the Fourth Proportional to 206.94, 285.60 and 124.05

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Solution

The fourth proportional to 206.94, 285.60 and 124.05 is: 171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.94 : 285.60 = 124.05 : x
  2. Step 2: Convert to fraction form
    206.94/285.60 = 124.05/x
  3. Step 3: Cross multiply
    206.94x = 285.60 × 124.05
  4. Step 4: Simplify right side
    206.94x = 35,427.25
  5. Step 5: Solve for x
    x = 35,427.25/206.94
  6. Step 6: Final answer
    x = 171.20

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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.