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Finding the Fourth Proportional to 393.21, 542.39 and 260.43

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Solution

The fourth proportional to 393.21, 542.39 and 260.43 is: 359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.21 : 542.39 = 260.43 : x
  2. Step 2: Convert to fraction form
    393.21/542.39 = 260.43/x
  3. Step 3: Cross multiply
    393.21x = 542.39 × 260.43
  4. Step 4: Simplify right side
    393.21x = 141,254.63
  5. Step 5: Solve for x
    x = 141,254.63/393.21
  6. Step 6: Final answer
    x = 359.23

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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.