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Finding the Fourth Proportional to 392.42, 542.54 and 375.21

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Solution

The fourth proportional to 392.42, 542.54 and 375.21 is: 518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.42 : 542.54 = 375.21 : x
  2. Step 2: Convert to fraction form
    392.42/542.54 = 375.21/x
  3. Step 3: Cross multiply
    392.42x = 542.54 × 375.21
  4. Step 4: Simplify right side
    392.42x = 203,567.37
  5. Step 5: Solve for x
    x = 203,567.37/392.42
  6. Step 6: Final answer
    x = 518.75

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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.