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Finding the Fourth Proportional to 319.39, 478.40 and 182.36

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Solution

The fourth proportional to 319.39, 478.40 and 182.36 is: 273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.39 : 478.40 = 182.36 : x
  2. Step 2: Convert to fraction form
    319.39/478.40 = 182.36/x
  3. Step 3: Cross multiply
    319.39x = 478.40 × 182.36
  4. Step 4: Simplify right side
    319.39x = 87,241.48
  5. Step 5: Solve for x
    x = 87,241.48/319.39
  6. Step 6: Final answer
    x = 273.15

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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.