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Finding the Fourth Proportional to 319.84, 441.08 and 296.26

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Solution

The fourth proportional to 319.84, 441.08 and 296.26 is: 408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.84 : 441.08 = 296.26 : x
  2. Step 2: Convert to fraction form
    319.84/441.08 = 296.26/x
  3. Step 3: Cross multiply
    319.84x = 441.08 × 296.26
  4. Step 4: Simplify right side
    319.84x = 130,675.37
  5. Step 5: Solve for x
    x = 130,675.37/319.84
  6. Step 6: Final answer
    x = 408.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.