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Finding the Fourth Proportional to 355.14, 489.92 and 238.50

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Solution

The fourth proportional to 355.14, 489.92 and 238.50 is: 329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.14 : 489.92 = 238.50 : x
  2. Step 2: Convert to fraction form
    355.14/489.92 = 238.50/x
  3. Step 3: Cross multiply
    355.14x = 489.92 × 238.50
  4. Step 4: Simplify right side
    355.14x = 116,844.73
  5. Step 5: Solve for x
    x = 116,844.73/355.14
  6. Step 6: Final answer
    x = 329.01

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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.