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Finding the Fourth Proportional to 319.05, 475.29 and 303.21

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Solution

The fourth proportional to 319.05, 475.29 and 303.21 is: 451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.05 : 475.29 = 303.21 : x
  2. Step 2: Convert to fraction form
    319.05/475.29 = 303.21/x
  3. Step 3: Cross multiply
    319.05x = 475.29 × 303.21
  4. Step 4: Simplify right side
    319.05x = 144,112.68
  5. Step 5: Solve for x
    x = 144,112.68/319.05
  6. Step 6: Final answer
    x = 451.69

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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.