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Finding the Fourth Proportional to 319.48, 441.58 and 268.60

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Solution

The fourth proportional to 319.48, 441.58 and 268.60 is: 371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.48 : 441.58 = 268.60 : x
  2. Step 2: Convert to fraction form
    319.48/441.58 = 268.60/x
  3. Step 3: Cross multiply
    319.48x = 441.58 × 268.60
  4. Step 4: Simplify right side
    319.48x = 118,608.39
  5. Step 5: Solve for x
    x = 118,608.39/319.48
  6. Step 6: Final answer
    x = 371.25

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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.