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Finding the Fourth Proportional to 415.41, 573.27 and 228.91

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Solution

The fourth proportional to 415.41, 573.27 and 228.91 is: 315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.41 : 573.27 = 228.91 : x
  2. Step 2: Convert to fraction form
    415.41/573.27 = 228.91/x
  3. Step 3: Cross multiply
    415.41x = 573.27 × 228.91
  4. Step 4: Simplify right side
    415.41x = 131,227.24
  5. Step 5: Solve for x
    x = 131,227.24/415.41
  6. Step 6: Final answer
    x = 315.90

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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.