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Finding the Fourth Proportional to 319.36, 478.86 and 136.70

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Solution

The fourth proportional to 319.36, 478.86 and 136.70 is: 204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.36 : 478.86 = 136.70 : x
  2. Step 2: Convert to fraction form
    319.36/478.86 = 136.70/x
  3. Step 3: Cross multiply
    319.36x = 478.86 × 136.70
  4. Step 4: Simplify right side
    319.36x = 65,460.16
  5. Step 5: Solve for x
    x = 65,460.16/319.36
  6. Step 6: Final answer
    x = 204.97

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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.