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Finding the Fourth Proportional to 319.43, 438.95 and 304.97

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Solution

The fourth proportional to 319.43, 438.95 and 304.97 is: 419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.43 : 438.95 = 304.97 : x
  2. Step 2: Convert to fraction form
    319.43/438.95 = 304.97/x
  3. Step 3: Cross multiply
    319.43x = 438.95 × 304.97
  4. Step 4: Simplify right side
    319.43x = 133,865.15
  5. Step 5: Solve for x
    x = 133,865.15/319.43
  6. Step 6: Final answer
    x = 419.07

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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.