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Finding the Fourth Proportional to 319.30, 479.04 and 165.20

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Solution

The fourth proportional to 319.30, 479.04 and 165.20 is: 247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.30 : 479.04 = 165.20 : x
  2. Step 2: Convert to fraction form
    319.30/479.04 = 165.20/x
  3. Step 3: Cross multiply
    319.30x = 479.04 × 165.20
  4. Step 4: Simplify right side
    319.30x = 79,137.41
  5. Step 5: Solve for x
    x = 79,137.41/319.30
  6. Step 6: Final answer
    x = 247.85

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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.