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Finding the Fourth Proportional to 319.13, 475.06 and 304.22

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Solution

The fourth proportional to 319.13, 475.06 and 304.22 is: 452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.13 : 475.06 = 304.22 : x
  2. Step 2: Convert to fraction form
    319.13/475.06 = 304.22/x
  3. Step 3: Cross multiply
    319.13x = 475.06 × 304.22
  4. Step 4: Simplify right side
    319.13x = 144,522.75
  5. Step 5: Solve for x
    x = 144,522.75/319.13
  6. Step 6: Final answer
    x = 452.86

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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.