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Finding the Fourth Proportional to 334.09, 497.61 and 316.75

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Solution

The fourth proportional to 334.09, 497.61 and 316.75 is: 471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.09 : 497.61 = 316.75 : x
  2. Step 2: Convert to fraction form
    334.09/497.61 = 316.75/x
  3. Step 3: Cross multiply
    334.09x = 497.61 × 316.75
  4. Step 4: Simplify right side
    334.09x = 157,617.97
  5. Step 5: Solve for x
    x = 157,617.97/334.09
  6. Step 6: Final answer
    x = 471.78

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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.