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Finding the Fourth Proportional to 248.56, 374.54 and 206.17

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Solution

The fourth proportional to 248.56, 374.54 and 206.17 is: 310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.56 : 374.54 = 206.17 : x
  2. Step 2: Convert to fraction form
    248.56/374.54 = 206.17/x
  3. Step 3: Cross multiply
    248.56x = 374.54 × 206.17
  4. Step 4: Simplify right side
    248.56x = 77,218.91
  5. Step 5: Solve for x
    x = 77,218.91/248.56
  6. Step 6: Final answer
    x = 310.67

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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.