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Finding the Fourth Proportional to 394.86, 543.81 and 316.04

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Solution

The fourth proportional to 394.86, 543.81 and 316.04 is: 435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.86 : 543.81 = 316.04 : x
  2. Step 2: Convert to fraction form
    394.86/543.81 = 316.04/x
  3. Step 3: Cross multiply
    394.86x = 543.81 × 316.04
  4. Step 4: Simplify right side
    394.86x = 171,862.99
  5. Step 5: Solve for x
    x = 171,862.99/394.86
  6. Step 6: Final answer
    x = 435.25

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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.