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Finding the Fourth Proportional to 258.34, 356.73 and 193.14

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Solution

The fourth proportional to 258.34, 356.73 and 193.14 is: 266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.34 : 356.73 = 193.14 : x
  2. Step 2: Convert to fraction form
    258.34/356.73 = 193.14/x
  3. Step 3: Cross multiply
    258.34x = 356.73 × 193.14
  4. Step 4: Simplify right side
    258.34x = 68,897.05
  5. Step 5: Solve for x
    x = 68,897.05/258.34
  6. Step 6: Final answer
    x = 266.69

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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.