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Finding the Fourth Proportional to 265.78, 400.99 and 256.68

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Solution

The fourth proportional to 265.78, 400.99 and 256.68 is: 387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.78 : 400.99 = 256.68 : x
  2. Step 2: Convert to fraction form
    265.78/400.99 = 256.68/x
  3. Step 3: Cross multiply
    265.78x = 400.99 × 256.68
  4. Step 4: Simplify right side
    265.78x = 102,926.11
  5. Step 5: Solve for x
    x = 102,926.11/265.78
  6. Step 6: Final answer
    x = 387.26

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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.