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Finding the Fourth Proportional to 266.57, 367.41 and 228.95

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Solution

The fourth proportional to 266.57, 367.41 and 228.95 is: 315.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.57 : 367.41 = 228.95 : x
  2. Step 2: Convert to fraction form
    266.57/367.41 = 228.95/x
  3. Step 3: Cross multiply
    266.57x = 367.41 × 228.95
  4. Step 4: Simplify right side
    266.57x = 84,118.52
  5. Step 5: Solve for x
    x = 84,118.52/266.57
  6. Step 6: Final answer
    x = 315.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.