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Finding the Fourth Proportional to 319.20, 476.49 and 276.14

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Solution

The fourth proportional to 319.20, 476.49 and 276.14 is: 412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.20 : 476.49 = 276.14 : x
  2. Step 2: Convert to fraction form
    319.20/476.49 = 276.14/x
  3. Step 3: Cross multiply
    319.20x = 476.49 × 276.14
  4. Step 4: Simplify right side
    319.20x = 131,577.95
  5. Step 5: Solve for x
    x = 131,577.95/319.20
  6. Step 6: Final answer
    x = 412.21

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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.