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Finding the Fourth Proportional to 319.27, 438.04 and 303.79

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Solution

The fourth proportional to 319.27, 438.04 and 303.79 is: 416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.27 : 438.04 = 303.79 : x
  2. Step 2: Convert to fraction form
    319.27/438.04 = 303.79/x
  3. Step 3: Cross multiply
    319.27x = 438.04 × 303.79
  4. Step 4: Simplify right side
    319.27x = 133,072.17
  5. Step 5: Solve for x
    x = 133,072.17/319.27
  6. Step 6: Final answer
    x = 416.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.