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Finding the Fourth Proportional to 234.11, 322.70 and 155.40

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Solution

The fourth proportional to 234.11, 322.70 and 155.40 is: 214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.11 : 322.70 = 155.40 : x
  2. Step 2: Convert to fraction form
    234.11/322.70 = 155.40/x
  3. Step 3: Cross multiply
    234.11x = 322.70 × 155.40
  4. Step 4: Simplify right side
    234.11x = 50,146.80
  5. Step 5: Solve for x
    x = 50,146.80/234.11
  6. Step 6: Final answer
    x = 214.21

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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.