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Finding the Fourth Proportional to 461.11, 636.41 and 264.74

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Solution

The fourth proportional to 461.11, 636.41 and 264.74 is: 365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.11 : 636.41 = 264.74 : x
  2. Step 2: Convert to fraction form
    461.11/636.41 = 264.74/x
  3. Step 3: Cross multiply
    461.11x = 636.41 × 264.74
  4. Step 4: Simplify right side
    461.11x = 168,479.17
  5. Step 5: Solve for x
    x = 168,479.17/461.11
  6. Step 6: Final answer
    x = 365.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.