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Finding the Fourth Proportional to 257.60, 355.63 and 170.42

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Solution

The fourth proportional to 257.60, 355.63 and 170.42 is: 235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.60 : 355.63 = 170.42 : x
  2. Step 2: Convert to fraction form
    257.60/355.63 = 170.42/x
  3. Step 3: Cross multiply
    257.60x = 355.63 × 170.42
  4. Step 4: Simplify right side
    257.60x = 60,606.00
  5. Step 5: Solve for x
    x = 60,606.00/257.60
  6. Step 6: Final answer
    x = 235.28

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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.