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Finding the Fourth Proportional to 238.14, 355.59 and 197.03

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Solution

The fourth proportional to 238.14, 355.59 and 197.03 is: 294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.14 : 355.59 = 197.03 : x
  2. Step 2: Convert to fraction form
    238.14/355.59 = 197.03/x
  3. Step 3: Cross multiply
    238.14x = 355.59 × 197.03
  4. Step 4: Simplify right side
    238.14x = 70,062.79
  5. Step 5: Solve for x
    x = 70,062.79/238.14
  6. Step 6: Final answer
    x = 294.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.