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Finding the Fourth Proportional to 319.87, 480.26 and 197.76

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Solution

The fourth proportional to 319.87, 480.26 and 197.76 is: 296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.87 : 480.26 = 197.76 : x
  2. Step 2: Convert to fraction form
    319.87/480.26 = 197.76/x
  3. Step 3: Cross multiply
    319.87x = 480.26 × 197.76
  4. Step 4: Simplify right side
    319.87x = 94,978.51
  5. Step 5: Solve for x
    x = 94,978.51/319.87
  6. Step 6: Final answer
    x = 296.93

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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.