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Finding the Fourth Proportional to 266.89, 400.53 and 228.82

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Solution

The fourth proportional to 266.89, 400.53 and 228.82 is: 343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.89 : 400.53 = 228.82 : x
  2. Step 2: Convert to fraction form
    266.89/400.53 = 228.82/x
  3. Step 3: Cross multiply
    266.89x = 400.53 × 228.82
  4. Step 4: Simplify right side
    266.89x = 91,649.27
  5. Step 5: Solve for x
    x = 91,649.27/266.89
  6. Step 6: Final answer
    x = 343.40

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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.