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Finding the Fourth Proportional to 449.93, 621.12 and 284.23

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Solution

The fourth proportional to 449.93, 621.12 and 284.23 is: 392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.93 : 621.12 = 284.23 : x
  2. Step 2: Convert to fraction form
    449.93/621.12 = 284.23/x
  3. Step 3: Cross multiply
    449.93x = 621.12 × 284.23
  4. Step 4: Simplify right side
    449.93x = 176,540.94
  5. Step 5: Solve for x
    x = 176,540.94/449.93
  6. Step 6: Final answer
    x = 392.37

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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.