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Finding the Fourth Proportional to 443.22, 663.92 and 392.00

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Solution

The fourth proportional to 443.22, 663.92 and 392.00 is: 587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.22 : 663.92 = 392.00 : x
  2. Step 2: Convert to fraction form
    443.22/663.92 = 392.00/x
  3. Step 3: Cross multiply
    443.22x = 663.92 × 392.00
  4. Step 4: Simplify right side
    443.22x = 260,251.36
  5. Step 5: Solve for x
    x = 260,251.36/443.22
  6. Step 6: Final answer
    x = 587.18

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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.