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Finding the Fourth Proportional to 266.04, 396.38 and 252.06

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Solution

The fourth proportional to 266.04, 396.38 and 252.06 is: 375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.04 : 396.38 = 252.06 : x
  2. Step 2: Convert to fraction form
    266.04/396.38 = 252.06/x
  3. Step 3: Cross multiply
    266.04x = 396.38 × 252.06
  4. Step 4: Simplify right side
    266.04x = 99,911.54
  5. Step 5: Solve for x
    x = 99,911.54/266.04
  6. Step 6: Final answer
    x = 375.55

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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.