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Finding the Fourth Proportional to 319.68, 479.09 and 232.50

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Solution

The fourth proportional to 319.68, 479.09 and 232.50 is: 348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.68 : 479.09 = 232.50 : x
  2. Step 2: Convert to fraction form
    319.68/479.09 = 232.50/x
  3. Step 3: Cross multiply
    319.68x = 479.09 × 232.50
  4. Step 4: Simplify right side
    319.68x = 111,387.26
  5. Step 5: Solve for x
    x = 111,387.26/319.68
  6. Step 6: Final answer
    x = 348.43

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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.