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Finding the Fourth Proportional to 258.61, 356.98 and 171.49

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Solution

The fourth proportional to 258.61, 356.98 and 171.49 is: 236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.61 : 356.98 = 171.49 : x
  2. Step 2: Convert to fraction form
    258.61/356.98 = 171.49/x
  3. Step 3: Cross multiply
    258.61x = 356.98 × 171.49
  4. Step 4: Simplify right side
    258.61x = 61,218.50
  5. Step 5: Solve for x
    x = 61,218.50/258.61
  6. Step 6: Final answer
    x = 236.72

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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.