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Finding the Fourth Proportional to 485.22, 726.92 and 241.46

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Solution

The fourth proportional to 485.22, 726.92 and 241.46 is: 361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.22 : 726.92 = 241.46 : x
  2. Step 2: Convert to fraction form
    485.22/726.92 = 241.46/x
  3. Step 3: Cross multiply
    485.22x = 726.92 × 241.46
  4. Step 4: Simplify right side
    485.22x = 175,522.10
  5. Step 5: Solve for x
    x = 175,522.10/485.22
  6. Step 6: Final answer
    x = 361.74

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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.