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Finding the Fourth Proportional to 233.92, 325.39 and 229.47

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Solution

The fourth proportional to 233.92, 325.39 and 229.47 is: 319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.92 : 325.39 = 229.47 : x
  2. Step 2: Convert to fraction form
    233.92/325.39 = 229.47/x
  3. Step 3: Cross multiply
    233.92x = 325.39 × 229.47
  4. Step 4: Simplify right side
    233.92x = 74,666.53
  5. Step 5: Solve for x
    x = 74,666.53/233.92
  6. Step 6: Final answer
    x = 319.20

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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.