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Finding the Fourth Proportional to 266.27, 397.22 and 235.89

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Solution

The fourth proportional to 266.27, 397.22 and 235.89 is: 351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.27 : 397.22 = 235.89 : x
  2. Step 2: Convert to fraction form
    266.27/397.22 = 235.89/x
  3. Step 3: Cross multiply
    266.27x = 397.22 × 235.89
  4. Step 4: Simplify right side
    266.27x = 93,699.05
  5. Step 5: Solve for x
    x = 93,699.05/266.27
  6. Step 6: Final answer
    x = 351.90

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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.