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Finding the Fourth Proportional to 233.47, 324.30 and 229.75

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Solution

The fourth proportional to 233.47, 324.30 and 229.75 is: 319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.47 : 324.30 = 229.75 : x
  2. Step 2: Convert to fraction form
    233.47/324.30 = 229.75/x
  3. Step 3: Cross multiply
    233.47x = 324.30 × 229.75
  4. Step 4: Simplify right side
    233.47x = 74,507.93
  5. Step 5: Solve for x
    x = 74,507.93/233.47
  6. Step 6: Final answer
    x = 319.13

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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.