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Finding the Fourth Proportional to 436.44, 601.92 and 393.24

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Solution

The fourth proportional to 436.44, 601.92 and 393.24 is: 542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.44 : 601.92 = 393.24 : x
  2. Step 2: Convert to fraction form
    436.44/601.92 = 393.24/x
  3. Step 3: Cross multiply
    436.44x = 601.92 × 393.24
  4. Step 4: Simplify right side
    436.44x = 236,699.02
  5. Step 5: Solve for x
    x = 236,699.02/436.44
  6. Step 6: Final answer
    x = 542.34

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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.