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Finding the Fourth Proportional to 319.33, 479.40 and 189.93

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Solution

The fourth proportional to 319.33, 479.40 and 189.93 is: 285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.33 : 479.40 = 189.93 : x
  2. Step 2: Convert to fraction form
    319.33/479.40 = 189.93/x
  3. Step 3: Cross multiply
    319.33x = 479.40 × 189.93
  4. Step 4: Simplify right side
    319.33x = 91,052.44
  5. Step 5: Solve for x
    x = 91,052.44/319.33
  6. Step 6: Final answer
    x = 285.14

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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.