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Finding the Fourth Proportional to 319.65, 479.08 and 165.49

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Solution

The fourth proportional to 319.65, 479.08 and 165.49 is: 248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.65 : 479.08 = 165.49 : x
  2. Step 2: Convert to fraction form
    319.65/479.08 = 165.49/x
  3. Step 3: Cross multiply
    319.65x = 479.08 × 165.49
  4. Step 4: Simplify right side
    319.65x = 79,280.59
  5. Step 5: Solve for x
    x = 79,280.59/319.65
  6. Step 6: Final answer
    x = 248.03

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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.