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Finding the Fourth Proportional to 234.81, 324.08 and 156.13

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Solution

The fourth proportional to 234.81, 324.08 and 156.13 is: 215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.81 : 324.08 = 156.13 : x
  2. Step 2: Convert to fraction form
    234.81/324.08 = 156.13/x
  3. Step 3: Cross multiply
    234.81x = 324.08 × 156.13
  4. Step 4: Simplify right side
    234.81x = 50,597.80
  5. Step 5: Solve for x
    x = 50,597.80/234.81
  6. Step 6: Final answer
    x = 215.49

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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.