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Finding the Fourth Proportional to 665.87, 999.21 and 255.04

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Solution

The fourth proportional to 665.87, 999.21 and 255.04 is: 382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.87 : 999.21 = 255.04 : x
  2. Step 2: Convert to fraction form
    665.87/999.21 = 255.04/x
  3. Step 3: Cross multiply
    665.87x = 999.21 × 255.04
  4. Step 4: Simplify right side
    665.87x = 254,838.52
  5. Step 5: Solve for x
    x = 254,838.52/665.87
  6. Step 6: Final answer
    x = 382.72

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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.