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Finding the Fourth Proportional to 256.37, 354.11 and 225.32

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Solution

The fourth proportional to 256.37, 354.11 and 225.32 is: 311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.37 : 354.11 = 225.32 : x
  2. Step 2: Convert to fraction form
    256.37/354.11 = 225.32/x
  3. Step 3: Cross multiply
    256.37x = 354.11 × 225.32
  4. Step 4: Simplify right side
    256.37x = 79,785.17
  5. Step 5: Solve for x
    x = 79,785.17/256.37
  6. Step 6: Final answer
    x = 311.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.