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Finding the Fourth Proportional to 285.76, 392.69 and 227.44

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Solution

The fourth proportional to 285.76, 392.69 and 227.44 is: 312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.76 : 392.69 = 227.44 : x
  2. Step 2: Convert to fraction form
    285.76/392.69 = 227.44/x
  3. Step 3: Cross multiply
    285.76x = 392.69 × 227.44
  4. Step 4: Simplify right side
    285.76x = 89,313.41
  5. Step 5: Solve for x
    x = 89,313.41/285.76
  6. Step 6: Final answer
    x = 312.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.