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Finding the Fourth Proportional to 402.73, 555.70 and 228.07

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Solution

The fourth proportional to 402.73, 555.70 and 228.07 is: 314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.73 : 555.70 = 228.07 : x
  2. Step 2: Convert to fraction form
    402.73/555.70 = 228.07/x
  3. Step 3: Cross multiply
    402.73x = 555.70 × 228.07
  4. Step 4: Simplify right side
    402.73x = 126,738.50
  5. Step 5: Solve for x
    x = 126,738.50/402.73
  6. Step 6: Final answer
    x = 314.70

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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.