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Finding the Fourth Proportional to 444.28, 665.74 and 261.76

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Solution

The fourth proportional to 444.28, 665.74 and 261.76 is: 392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.28 : 665.74 = 261.76 : x
  2. Step 2: Convert to fraction form
    444.28/665.74 = 261.76/x
  3. Step 3: Cross multiply
    444.28x = 665.74 × 261.76
  4. Step 4: Simplify right side
    444.28x = 174,264.10
  5. Step 5: Solve for x
    x = 174,264.10/444.28
  6. Step 6: Final answer
    x = 392.24

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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.