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Finding the Fourth Proportional to 287.35, 396.23 and 256.64

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Solution

The fourth proportional to 287.35, 396.23 and 256.64 is: 353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.35 : 396.23 = 256.64 : x
  2. Step 2: Convert to fraction form
    287.35/396.23 = 256.64/x
  3. Step 3: Cross multiply
    287.35x = 396.23 × 256.64
  4. Step 4: Simplify right side
    287.35x = 101,685.20
  5. Step 5: Solve for x
    x = 101,685.20/287.35
  6. Step 6: Final answer
    x = 353.88

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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.