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Finding the Fourth Proportional to 266.96, 399.96 and 138.32

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Solution

The fourth proportional to 266.96, 399.96 and 138.32 is: 207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.96 : 399.96 = 138.32 : x
  2. Step 2: Convert to fraction form
    266.96/399.96 = 138.32/x
  3. Step 3: Cross multiply
    266.96x = 399.96 × 138.32
  4. Step 4: Simplify right side
    266.96x = 55,322.47
  5. Step 5: Solve for x
    x = 55,322.47/266.96
  6. Step 6: Final answer
    x = 207.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.