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Finding the Fourth Proportional to 266.37, 397.34 and 262.12

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Solution

The fourth proportional to 266.37, 397.34 and 262.12 is: 391.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.37 : 397.34 = 262.12 : x
  2. Step 2: Convert to fraction form
    266.37/397.34 = 262.12/x
  3. Step 3: Cross multiply
    266.37x = 397.34 × 262.12
  4. Step 4: Simplify right side
    266.37x = 104,147.46
  5. Step 5: Solve for x
    x = 104,147.46/266.37
  6. Step 6: Final answer
    x = 391.00

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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.