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Finding the Fourth Proportional to 266.23, 399.47 and 163.57

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Solution

The fourth proportional to 266.23, 399.47 and 163.57 is: 245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.23 : 399.47 = 163.57 : x
  2. Step 2: Convert to fraction form
    266.23/399.47 = 163.57/x
  3. Step 3: Cross multiply
    266.23x = 399.47 × 163.57
  4. Step 4: Simplify right side
    266.23x = 65,341.31
  5. Step 5: Solve for x
    x = 65,341.31/266.23
  6. Step 6: Final answer
    x = 245.43

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Why These Related Problems?

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