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Finding the Fourth Proportional to 565.31, 847.74 and 227.10

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Solution

The fourth proportional to 565.31, 847.74 and 227.10 is: 340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.31 : 847.74 = 227.10 : x
  2. Step 2: Convert to fraction form
    565.31/847.74 = 227.10/x
  3. Step 3: Cross multiply
    565.31x = 847.74 × 227.10
  4. Step 4: Simplify right side
    565.31x = 192,524.93
  5. Step 5: Solve for x
    x = 192,524.93/565.31
  6. Step 6: Final answer
    x = 340.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.