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Finding the Fourth Proportional to 319.82, 477.12 and 308.88

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Solution

The fourth proportional to 319.82, 477.12 and 308.88 is: 460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.82 : 477.12 = 308.88 : x
  2. Step 2: Convert to fraction form
    319.82/477.12 = 308.88/x
  3. Step 3: Cross multiply
    319.82x = 477.12 × 308.88
  4. Step 4: Simplify right side
    319.82x = 147,372.83
  5. Step 5: Solve for x
    x = 147,372.83/319.82
  6. Step 6: Final answer
    x = 460.80

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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.