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Finding the Fourth Proportional to 319.72, 480.24 and 233.32

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Solution

The fourth proportional to 319.72, 480.24 and 233.32 is: 350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.72 : 480.24 = 233.32 : x
  2. Step 2: Convert to fraction form
    319.72/480.24 = 233.32/x
  3. Step 3: Cross multiply
    319.72x = 480.24 × 233.32
  4. Step 4: Simplify right side
    319.72x = 112,049.60
  5. Step 5: Solve for x
    x = 112,049.60/319.72
  6. Step 6: Final answer
    x = 350.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.