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Finding the Fourth Proportional to 319.08, 479.07 and 165.12

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Solution

The fourth proportional to 319.08, 479.07 and 165.12 is: 247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.08 : 479.07 = 165.12 : x
  2. Step 2: Convert to fraction form
    319.08/479.07 = 165.12/x
  3. Step 3: Cross multiply
    319.08x = 479.07 × 165.12
  4. Step 4: Simplify right side
    319.08x = 79,104.04
  5. Step 5: Solve for x
    x = 79,104.04/319.08
  6. Step 6: Final answer
    x = 247.91

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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.