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Finding the Fourth Proportional to 393.21, 543 and 294.81

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Solution

The fourth proportional to 393.21, 543 and 294.81 is: 407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.21 : 543 = 294.81 : x
  2. Step 2: Convert to fraction form
    393.21/543 = 294.81/x
  3. Step 3: Cross multiply
    393.21x = 543 × 294.81
  4. Step 4: Simplify right side
    393.21x = 160,081.83
  5. Step 5: Solve for x
    x = 160,081.83/393.21
  6. Step 6: Final answer
    x = 407.12

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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.