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Finding the Fourth Proportional to 319.22, 478.52 and 136.36

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Solution

The fourth proportional to 319.22, 478.52 and 136.36 is: 204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.22 : 478.52 = 136.36 : x
  2. Step 2: Convert to fraction form
    319.22/478.52 = 136.36/x
  3. Step 3: Cross multiply
    319.22x = 478.52 × 136.36
  4. Step 4: Simplify right side
    319.22x = 65,250.99
  5. Step 5: Solve for x
    x = 65,250.99/319.22
  6. Step 6: Final answer
    x = 204.41

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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.