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Finding the Fourth Proportional to 393.36, 542.28 and 262.08

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Solution

The fourth proportional to 393.36, 542.28 and 262.08 is: 361.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.36 : 542.28 = 262.08 : x
  2. Step 2: Convert to fraction form
    393.36/542.28 = 262.08/x
  3. Step 3: Cross multiply
    393.36x = 542.28 × 262.08
  4. Step 4: Simplify right side
    393.36x = 142,120.74
  5. Step 5: Solve for x
    x = 142,120.74/393.36
  6. Step 6: Final answer
    x = 361.30

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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.