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Finding the Fourth Proportional to 268.18, 399.42 and 266.80

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Solution

The fourth proportional to 268.18, 399.42 and 266.80 is: 397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.18 : 399.42 = 266.80 : x
  2. Step 2: Convert to fraction form
    268.18/399.42 = 266.80/x
  3. Step 3: Cross multiply
    268.18x = 399.42 × 266.80
  4. Step 4: Simplify right side
    268.18x = 106,565.26
  5. Step 5: Solve for x
    x = 106,565.26/268.18
  6. Step 6: Final answer
    x = 397.36

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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.