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Finding the Fourth Proportional to 266.82, 398.06 and 248.46

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Solution

The fourth proportional to 266.82, 398.06 and 248.46 is: 370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.82 : 398.06 = 248.46 : x
  2. Step 2: Convert to fraction form
    266.82/398.06 = 248.46/x
  3. Step 3: Cross multiply
    266.82x = 398.06 × 248.46
  4. Step 4: Simplify right side
    266.82x = 98,900.75
  5. Step 5: Solve for x
    x = 98,900.75/266.82
  6. Step 6: Final answer
    x = 370.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.