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Finding the Fourth Proportional to 258.53, 356.78 and 160.31

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Solution

The fourth proportional to 258.53, 356.78 and 160.31 is: 221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.53 : 356.78 = 160.31 : x
  2. Step 2: Convert to fraction form
    258.53/356.78 = 160.31/x
  3. Step 3: Cross multiply
    258.53x = 356.78 × 160.31
  4. Step 4: Simplify right side
    258.53x = 57,196.69
  5. Step 5: Solve for x
    x = 57,196.69/258.53
  6. Step 6: Final answer
    x = 221.24

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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.