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Finding the Fourth Proportional to 342.44, 511.42 and 323.72

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Solution

The fourth proportional to 342.44, 511.42 and 323.72 is: 483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.44 : 511.42 = 323.72 : x
  2. Step 2: Convert to fraction form
    342.44/511.42 = 323.72/x
  3. Step 3: Cross multiply
    342.44x = 511.42 × 323.72
  4. Step 4: Simplify right side
    342.44x = 165,556.88
  5. Step 5: Solve for x
    x = 165,556.88/342.44
  6. Step 6: Final answer
    x = 483.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.