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Finding the Fourth Proportional to 393.66, 543.97 and 314.85

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Solution

The fourth proportional to 393.66, 543.97 and 314.85 is: 435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.66 : 543.97 = 314.85 : x
  2. Step 2: Convert to fraction form
    393.66/543.97 = 314.85/x
  3. Step 3: Cross multiply
    393.66x = 543.97 × 314.85
  4. Step 4: Simplify right side
    393.66x = 171,270.67
  5. Step 5: Solve for x
    x = 171,270.67/393.66
  6. Step 6: Final answer
    x = 435.07

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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.