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Finding the Fourth Proportional to 265.41, 397.82 and 216.74

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Solution

The fourth proportional to 265.41, 397.82 and 216.74 is: 324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.41 : 397.82 = 216.74 : x
  2. Step 2: Convert to fraction form
    265.41/397.82 = 216.74/x
  3. Step 3: Cross multiply
    265.41x = 397.82 × 216.74
  4. Step 4: Simplify right side
    265.41x = 86,223.51
  5. Step 5: Solve for x
    x = 86,223.51/265.41
  6. Step 6: Final answer
    x = 324.87

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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.