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Finding the Fourth Proportional to 231.75, 346.01 and 197.53

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Solution

The fourth proportional to 231.75, 346.01 and 197.53 is: 294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.75 : 346.01 = 197.53 : x
  2. Step 2: Convert to fraction form
    231.75/346.01 = 197.53/x
  3. Step 3: Cross multiply
    231.75x = 346.01 × 197.53
  4. Step 4: Simplify right side
    231.75x = 68,345.50
  5. Step 5: Solve for x
    x = 68,345.50/231.75
  6. Step 6: Final answer
    x = 294.91

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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.