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Finding the Fourth Proportional to 257.42, 355.31 and 165.58

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Solution

The fourth proportional to 257.42, 355.31 and 165.58 is: 228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.42 : 355.31 = 165.58 : x
  2. Step 2: Convert to fraction form
    257.42/355.31 = 165.58/x
  3. Step 3: Cross multiply
    257.42x = 355.31 × 165.58
  4. Step 4: Simplify right side
    257.42x = 58,832.23
  5. Step 5: Solve for x
    x = 58,832.23/257.42
  6. Step 6: Final answer
    x = 228.55

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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.