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Finding the Fourth Proportional to 402.64, 555.71 and 227.98

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Solution

The fourth proportional to 402.64, 555.71 and 227.98 is: 314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.64 : 555.71 = 227.98 : x
  2. Step 2: Convert to fraction form
    402.64/555.71 = 227.98/x
  3. Step 3: Cross multiply
    402.64x = 555.71 × 227.98
  4. Step 4: Simplify right side
    402.64x = 126,690.77
  5. Step 5: Solve for x
    x = 126,690.77/402.64
  6. Step 6: Final answer
    x = 314.65

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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.