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Finding the Fourth Proportional to 233.82, 324.78 and 230.10

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Solution

The fourth proportional to 233.82, 324.78 and 230.10 is: 319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.82 : 324.78 = 230.10 : x
  2. Step 2: Convert to fraction form
    233.82/324.78 = 230.10/x
  3. Step 3: Cross multiply
    233.82x = 324.78 × 230.10
  4. Step 4: Simplify right side
    233.82x = 74,730.25
  5. Step 5: Solve for x
    x = 74,730.25/233.82
  6. Step 6: Final answer
    x = 319.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.