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Finding the Fourth Proportional to 257.64, 355.42 and 159.36

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Solution

The fourth proportional to 257.64, 355.42 and 159.36 is: 219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.64 : 355.42 = 159.36 : x
  2. Step 2: Convert to fraction form
    257.64/355.42 = 159.36/x
  3. Step 3: Cross multiply
    257.64x = 355.42 × 159.36
  4. Step 4: Simplify right side
    257.64x = 56,639.73
  5. Step 5: Solve for x
    x = 56,639.73/257.64
  6. Step 6: Final answer
    x = 219.84

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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.