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Finding the Fourth Proportional to 319.41, 477.90 and 197.37

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Solution

The fourth proportional to 319.41, 477.90 and 197.37 is: 295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.41 : 477.90 = 197.37 : x
  2. Step 2: Convert to fraction form
    319.41/477.90 = 197.37/x
  3. Step 3: Cross multiply
    319.41x = 477.90 × 197.37
  4. Step 4: Simplify right side
    319.41x = 94,323.12
  5. Step 5: Solve for x
    x = 94,323.12/319.41
  6. Step 6: Final answer
    x = 295.30

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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.