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Finding the Fourth Proportional to 285.61, 392.43 and 227.29

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Solution

The fourth proportional to 285.61, 392.43 and 227.29 is: 312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.61 : 392.43 = 227.29 : x
  2. Step 2: Convert to fraction form
    285.61/392.43 = 227.29/x
  3. Step 3: Cross multiply
    285.61x = 392.43 × 227.29
  4. Step 4: Simplify right side
    285.61x = 89,195.41
  5. Step 5: Solve for x
    x = 89,195.41/285.61
  6. Step 6: Final answer
    x = 312.30

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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.