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Finding the Fourth Proportional to 319.95, 477.76 and 254.21

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Solution

The fourth proportional to 319.95, 477.76 and 254.21 is: 379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.95 : 477.76 = 254.21 : x
  2. Step 2: Convert to fraction form
    319.95/477.76 = 254.21/x
  3. Step 3: Cross multiply
    319.95x = 477.76 × 254.21
  4. Step 4: Simplify right side
    319.95x = 121,451.37
  5. Step 5: Solve for x
    x = 121,451.37/319.95
  6. Step 6: Final answer
    x = 379.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.