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Finding the Fourth Proportional to 266.02, 396.34 and 262.26

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Solution

The fourth proportional to 266.02, 396.34 and 262.26 is: 390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.02 : 396.34 = 262.26 : x
  2. Step 2: Convert to fraction form
    266.02/396.34 = 262.26/x
  3. Step 3: Cross multiply
    266.02x = 396.34 × 262.26
  4. Step 4: Simplify right side
    266.02x = 103,943.47
  5. Step 5: Solve for x
    x = 103,943.47/266.02
  6. Step 6: Final answer
    x = 390.74

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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.