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Finding the Fourth Proportional to 265.82, 400.73 and 248.21

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Solution

The fourth proportional to 265.82, 400.73 and 248.21 is: 374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.82 : 400.73 = 248.21 : x
  2. Step 2: Convert to fraction form
    265.82/400.73 = 248.21/x
  3. Step 3: Cross multiply
    265.82x = 400.73 × 248.21
  4. Step 4: Simplify right side
    265.82x = 99,465.19
  5. Step 5: Solve for x
    x = 99,465.19/265.82
  6. Step 6: Final answer
    x = 374.18

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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.