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Finding the Fourth Proportional to 319.47, 479.67 and 189.66

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Solution

The fourth proportional to 319.47, 479.67 and 189.66 is: 284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.47 : 479.67 = 189.66 : x
  2. Step 2: Convert to fraction form
    319.47/479.67 = 189.66/x
  3. Step 3: Cross multiply
    319.47x = 479.67 × 189.66
  4. Step 4: Simplify right side
    319.47x = 90,974.21
  5. Step 5: Solve for x
    x = 90,974.21/319.47
  6. Step 6: Final answer
    x = 284.77

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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.