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Finding the Fourth Proportional to 248.69, 374.73 and 206.30

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Solution

The fourth proportional to 248.69, 374.73 and 206.30 is: 310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.69 : 374.73 = 206.30 : x
  2. Step 2: Convert to fraction form
    248.69/374.73 = 206.30/x
  3. Step 3: Cross multiply
    248.69x = 374.73 × 206.30
  4. Step 4: Simplify right side
    248.69x = 77,304.93
  5. Step 5: Solve for x
    x = 77,304.93/248.69
  6. Step 6: Final answer
    x = 310.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.