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Finding the Fourth Proportional to 393.51, 543.25 and 275.84

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Solution

The fourth proportional to 393.51, 543.25 and 275.84 is: 380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.51 : 543.25 = 275.84 : x
  2. Step 2: Convert to fraction form
    393.51/543.25 = 275.84/x
  3. Step 3: Cross multiply
    393.51x = 543.25 × 275.84
  4. Step 4: Simplify right side
    393.51x = 149,850.08
  5. Step 5: Solve for x
    x = 149,850.08/393.51
  6. Step 6: Final answer
    x = 380.81

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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.