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Finding the Fourth Proportional to 319.26, 479.06 and 148.26

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Solution

The fourth proportional to 319.26, 479.06 and 148.26 is: 222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.26 : 479.06 = 148.26 : x
  2. Step 2: Convert to fraction form
    319.26/479.06 = 148.26/x
  3. Step 3: Cross multiply
    319.26x = 479.06 × 148.26
  4. Step 4: Simplify right side
    319.26x = 71,025.44
  5. Step 5: Solve for x
    x = 71,025.44/319.26
  6. Step 6: Final answer
    x = 222.47

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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.