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Finding the Fourth Proportional to 319.36, 475.83 and 305.38

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Solution

The fourth proportional to 319.36, 475.83 and 305.38 is: 455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.36 : 475.83 = 305.38 : x
  2. Step 2: Convert to fraction form
    319.36/475.83 = 305.38/x
  3. Step 3: Cross multiply
    319.36x = 475.83 × 305.38
  4. Step 4: Simplify right side
    319.36x = 145,308.97
  5. Step 5: Solve for x
    x = 145,308.97/319.36
  6. Step 6: Final answer
    x = 455.00

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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.