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Finding the Fourth Proportional to 263.82, 397.71 and 246.21

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Solution

The fourth proportional to 263.82, 397.71 and 246.21 is: 371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.82 : 397.71 = 246.21 : x
  2. Step 2: Convert to fraction form
    263.82/397.71 = 246.21/x
  3. Step 3: Cross multiply
    263.82x = 397.71 × 246.21
  4. Step 4: Simplify right side
    263.82x = 97,920.18
  5. Step 5: Solve for x
    x = 97,920.18/263.82
  6. Step 6: Final answer
    x = 371.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.