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Finding the Fourth Proportional to 265.78, 400.58 and 250.90

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Solution

The fourth proportional to 265.78, 400.58 and 250.90 is: 378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.78 : 400.58 = 250.90 : x
  2. Step 2: Convert to fraction form
    265.78/400.58 = 250.90/x
  3. Step 3: Cross multiply
    265.78x = 400.58 × 250.90
  4. Step 4: Simplify right side
    265.78x = 100,504.21
  5. Step 5: Solve for x
    x = 100,504.21/265.78
  6. Step 6: Final answer
    x = 378.15

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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.