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Finding the Fourth Proportional to 266.78, 400.34 and 102.38

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Solution

The fourth proportional to 266.78, 400.34 and 102.38 is: 153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.78 : 400.34 = 102.38 : x
  2. Step 2: Convert to fraction form
    266.78/400.34 = 102.38/x
  3. Step 3: Cross multiply
    266.78x = 400.34 × 102.38
  4. Step 4: Simplify right side
    266.78x = 40,986.81
  5. Step 5: Solve for x
    x = 40,986.81/266.78
  6. Step 6: Final answer
    x = 153.64

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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.