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Finding the Fourth Proportional to 258.02, 355.94 and 170.66

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Solution

The fourth proportional to 258.02, 355.94 and 170.66 is: 235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.02 : 355.94 = 170.66 : x
  2. Step 2: Convert to fraction form
    258.02/355.94 = 170.66/x
  3. Step 3: Cross multiply
    258.02x = 355.94 × 170.66
  4. Step 4: Simplify right side
    258.02x = 60,744.72
  5. Step 5: Solve for x
    x = 60,744.72/258.02
  6. Step 6: Final answer
    x = 235.43

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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.