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Finding the Fourth Proportional to 206.90, 310.31 and 60.62

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Solution

The fourth proportional to 206.90, 310.31 and 60.62 is: 90.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.90 : 310.31 = 60.62 : x
  2. Step 2: Convert to fraction form
    206.90/310.31 = 60.62/x
  3. Step 3: Cross multiply
    206.90x = 310.31 × 60.62
  4. Step 4: Simplify right side
    206.90x = 18,809.14
  5. Step 5: Solve for x
    x = 18,809.14/206.90
  6. Step 6: Final answer
    x = 90.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.