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Finding the Fourth Proportional to 265.41, 399.50 and 225.78

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Solution

The fourth proportional to 265.41, 399.50 and 225.78 is: 339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.41 : 399.50 = 225.78 : x
  2. Step 2: Convert to fraction form
    265.41/399.50 = 225.78/x
  3. Step 3: Cross multiply
    265.41x = 399.50 × 225.78
  4. Step 4: Simplify right side
    265.41x = 90,199.11
  5. Step 5: Solve for x
    x = 90,199.11/265.41
  6. Step 6: Final answer
    x = 339.85

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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.