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Finding the Fourth Proportional to 233.90, 322.62 and 197

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Solution

The fourth proportional to 233.90, 322.62 and 197 is: 271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.90 : 322.62 = 197 : x
  2. Step 2: Convert to fraction form
    233.90/322.62 = 197/x
  3. Step 3: Cross multiply
    233.90x = 322.62 × 197
  4. Step 4: Simplify right side
    233.90x = 63,556.14
  5. Step 5: Solve for x
    x = 63,556.14/233.90
  6. Step 6: Final answer
    x = 271.72

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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.