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Finding the Fourth Proportional to 234.41, 351.62 and 97.42

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Solution

The fourth proportional to 234.41, 351.62 and 97.42 is: 146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.41 : 351.62 = 97.42 : x
  2. Step 2: Convert to fraction form
    234.41/351.62 = 97.42/x
  3. Step 3: Cross multiply
    234.41x = 351.62 × 97.42
  4. Step 4: Simplify right side
    234.41x = 34,254.82
  5. Step 5: Solve for x
    x = 34,254.82/234.41
  6. Step 6: Final answer
    x = 146.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.