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Finding the Fourth Proportional to 319.40, 478.62 and 182.36

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Solution

The fourth proportional to 319.40, 478.62 and 182.36 is: 273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.40 : 478.62 = 182.36 : x
  2. Step 2: Convert to fraction form
    319.40/478.62 = 182.36/x
  3. Step 3: Cross multiply
    319.40x = 478.62 × 182.36
  4. Step 4: Simplify right side
    319.40x = 87,281.14
  5. Step 5: Solve for x
    x = 87,281.14/319.40
  6. Step 6: Final answer
    x = 273.27

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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.