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Finding the Fourth Proportional to 257.62, 384.56 and 223.60

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Solution

The fourth proportional to 257.62, 384.56 and 223.60 is: 333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.62 : 384.56 = 223.60 : x
  2. Step 2: Convert to fraction form
    257.62/384.56 = 223.60/x
  3. Step 3: Cross multiply
    257.62x = 384.56 × 223.60
  4. Step 4: Simplify right side
    257.62x = 85,987.62
  5. Step 5: Solve for x
    x = 85,987.62/257.62
  6. Step 6: Final answer
    x = 333.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.