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Finding the Fourth Proportional to 449.88, 621.09 and 284.23

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Solution

The fourth proportional to 449.88, 621.09 and 284.23 is: 392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.88 : 621.09 = 284.23 : x
  2. Step 2: Convert to fraction form
    449.88/621.09 = 284.23/x
  3. Step 3: Cross multiply
    449.88x = 621.09 × 284.23
  4. Step 4: Simplify right side
    449.88x = 176,532.41
  5. Step 5: Solve for x
    x = 176,532.41/449.88
  6. Step 6: Final answer
    x = 392.40

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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.