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Finding the Fourth Proportional to 411.23, 615.25 and 262.49

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Solution

The fourth proportional to 411.23, 615.25 and 262.49 is: 392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.23 : 615.25 = 262.49 : x
  2. Step 2: Convert to fraction form
    411.23/615.25 = 262.49/x
  3. Step 3: Cross multiply
    411.23x = 615.25 × 262.49
  4. Step 4: Simplify right side
    411.23x = 161,496.21
  5. Step 5: Solve for x
    x = 161,496.21/411.23
  6. Step 6: Final answer
    x = 392.72

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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.