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Finding the Fourth Proportional to 357.77, 494.13 and 239.54

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Solution

The fourth proportional to 357.77, 494.13 and 239.54 is: 330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.77 : 494.13 = 239.54 : x
  2. Step 2: Convert to fraction form
    357.77/494.13 = 239.54/x
  3. Step 3: Cross multiply
    357.77x = 494.13 × 239.54
  4. Step 4: Simplify right side
    357.77x = 118,365.14
  5. Step 5: Solve for x
    x = 118,365.14/357.77
  6. Step 6: Final answer
    x = 330.85

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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.