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Finding the Fourth Proportional to 266.90, 369.82 and 263.55

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Solution

The fourth proportional to 266.90, 369.82 and 263.55 is: 365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.90 : 369.82 = 263.55 : x
  2. Step 2: Convert to fraction form
    266.90/369.82 = 263.55/x
  3. Step 3: Cross multiply
    266.90x = 369.82 × 263.55
  4. Step 4: Simplify right side
    266.90x = 97,466.29
  5. Step 5: Solve for x
    x = 97,466.29/266.90
  6. Step 6: Final answer
    x = 365.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.