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Finding the Fourth Proportional to 256.32, 352.16 and 209.56

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Solution

The fourth proportional to 256.32, 352.16 and 209.56 is: 287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.32 : 352.16 = 209.56 : x
  2. Step 2: Convert to fraction form
    256.32/352.16 = 209.56/x
  3. Step 3: Cross multiply
    256.32x = 352.16 × 209.56
  4. Step 4: Simplify right side
    256.32x = 73,798.65
  5. Step 5: Solve for x
    x = 73,798.65/256.32
  6. Step 6: Final answer
    x = 287.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.