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Finding the Fourth Proportional to 206.98, 285.45 and 137.02

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Solution

The fourth proportional to 206.98, 285.45 and 137.02 is: 188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.98 : 285.45 = 137.02 : x
  2. Step 2: Convert to fraction form
    206.98/285.45 = 137.02/x
  3. Step 3: Cross multiply
    206.98x = 285.45 × 137.02
  4. Step 4: Simplify right side
    206.98x = 39,112.36
  5. Step 5: Solve for x
    x = 39,112.36/206.98
  6. Step 6: Final answer
    x = 188.97

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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.