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Finding the Fourth Proportional to 402.55, 555.62 and 227.99

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Solution

The fourth proportional to 402.55, 555.62 and 227.99 is: 314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.55 : 555.62 = 227.99 : x
  2. Step 2: Convert to fraction form
    402.55/555.62 = 227.99/x
  3. Step 3: Cross multiply
    402.55x = 555.62 × 227.99
  4. Step 4: Simplify right side
    402.55x = 126,674.66
  5. Step 5: Solve for x
    x = 126,674.66/402.55
  6. Step 6: Final answer
    x = 314.68

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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.