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Finding the Fourth Proportional to 266.15, 396.44 and 262.95

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Solution

The fourth proportional to 266.15, 396.44 and 262.95 is: 391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.15 : 396.44 = 262.95 : x
  2. Step 2: Convert to fraction form
    266.15/396.44 = 262.95/x
  3. Step 3: Cross multiply
    266.15x = 396.44 × 262.95
  4. Step 4: Simplify right side
    266.15x = 104,242.58
  5. Step 5: Solve for x
    x = 104,242.58/266.15
  6. Step 6: Final answer
    x = 391.68

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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.