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Finding the Fourth Proportional to 235.38, 324.76 and 173.22

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Solution

The fourth proportional to 235.38, 324.76 and 173.22 is: 239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.38 : 324.76 = 173.22 : x
  2. Step 2: Convert to fraction form
    235.38/324.76 = 173.22/x
  3. Step 3: Cross multiply
    235.38x = 324.76 × 173.22
  4. Step 4: Simplify right side
    235.38x = 56,254.93
  5. Step 5: Solve for x
    x = 56,254.93/235.38
  6. Step 6: Final answer
    x = 239.00

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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.