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Finding the Fourth Proportional to 319.78, 478.95 and 197.83

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Solution

The fourth proportional to 319.78, 478.95 and 197.83 is: 296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.78 : 478.95 = 197.83 : x
  2. Step 2: Convert to fraction form
    319.78/478.95 = 197.83/x
  3. Step 3: Cross multiply
    319.78x = 478.95 × 197.83
  4. Step 4: Simplify right side
    319.78x = 94,750.68
  5. Step 5: Solve for x
    x = 94,750.68/319.78
  6. Step 6: Final answer
    x = 296.30

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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.