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Finding the Fourth Proportional to 266.75, 398.25 and 228.25

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Solution

The fourth proportional to 266.75, 398.25 and 228.25 is: 340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.75 : 398.25 = 228.25 : x
  2. Step 2: Convert to fraction form
    266.75/398.25 = 228.25/x
  3. Step 3: Cross multiply
    266.75x = 398.25 × 228.25
  4. Step 4: Simplify right side
    266.75x = 90,900.56
  5. Step 5: Solve for x
    x = 90,900.56/266.75
  6. Step 6: Final answer
    x = 340.77

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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.