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Finding the Fourth Proportional to 393.19, 542.64 and 262.24

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Solution

The fourth proportional to 393.19, 542.64 and 262.24 is: 361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.19 : 542.64 = 262.24 : x
  2. Step 2: Convert to fraction form
    393.19/542.64 = 262.24/x
  3. Step 3: Cross multiply
    393.19x = 542.64 × 262.24
  4. Step 4: Simplify right side
    393.19x = 142,301.91
  5. Step 5: Solve for x
    x = 142,301.91/393.19
  6. Step 6: Final answer
    x = 361.92

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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.