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Finding the Fourth Proportional to 392.93, 541 and 346.13

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Solution

The fourth proportional to 392.93, 541 and 346.13 is: 476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.93 : 541 = 346.13 : x
  2. Step 2: Convert to fraction form
    392.93/541 = 346.13/x
  3. Step 3: Cross multiply
    392.93x = 541 × 346.13
  4. Step 4: Simplify right side
    392.93x = 187,256.33
  5. Step 5: Solve for x
    x = 187,256.33/392.93
  6. Step 6: Final answer
    x = 476.56

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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.