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Finding the Fourth Proportional to 356.78, 491.33 and 258.38

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Solution

The fourth proportional to 356.78, 491.33 and 258.38 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.78 : 491.33 = 258.38 : x
  2. Step 2: Convert to fraction form
    356.78/491.33 = 258.38/x
  3. Step 3: Cross multiply
    356.78x = 491.33 × 258.38
  4. Step 4: Simplify right side
    356.78x = 126,949.85
  5. Step 5: Solve for x
    x = 126,949.85/356.78
  6. Step 6: Final answer
    x = 355.82

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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.