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Finding the Fourth Proportional to 393.21, 541.99 and 267.13

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Solution

The fourth proportional to 393.21, 541.99 and 267.13 is: 368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.21 : 541.99 = 267.13 : x
  2. Step 2: Convert to fraction form
    393.21/541.99 = 267.13/x
  3. Step 3: Cross multiply
    393.21x = 541.99 × 267.13
  4. Step 4: Simplify right side
    393.21x = 144,781.79
  5. Step 5: Solve for x
    x = 144,781.79/393.21
  6. Step 6: Final answer
    x = 368.20

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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.