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Finding the Fourth Proportional to 319.47, 479.25 and 136.91

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Solution

The fourth proportional to 319.47, 479.25 and 136.91 is: 205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.47 : 479.25 = 136.91 : x
  2. Step 2: Convert to fraction form
    319.47/479.25 = 136.91/x
  3. Step 3: Cross multiply
    319.47x = 479.25 × 136.91
  4. Step 4: Simplify right side
    319.47x = 65,611.72
  5. Step 5: Solve for x
    x = 65,611.72/319.47
  6. Step 6: Final answer
    x = 205.38

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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.