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Finding the Fourth Proportional to 402.88, 555.90 and 228.19

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Solution

The fourth proportional to 402.88, 555.90 and 228.19 is: 314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.88 : 555.90 = 228.19 : x
  2. Step 2: Convert to fraction form
    402.88/555.90 = 228.19/x
  3. Step 3: Cross multiply
    402.88x = 555.90 × 228.19
  4. Step 4: Simplify right side
    402.88x = 126,850.82
  5. Step 5: Solve for x
    x = 126,850.82/402.88
  6. Step 6: Final answer
    x = 314.86

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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.