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Finding the Fourth Proportional to 266.50, 397.88 and 228

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Solution

The fourth proportional to 266.50, 397.88 and 228 is: 340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.50 : 397.88 = 228 : x
  2. Step 2: Convert to fraction form
    266.50/397.88 = 228/x
  3. Step 3: Cross multiply
    266.50x = 397.88 × 228
  4. Step 4: Simplify right side
    266.50x = 90,716.64
  5. Step 5: Solve for x
    x = 90,716.64/266.50
  6. Step 6: Final answer
    x = 340.40

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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.