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Finding the Fourth Proportional to 482.20, 665.24 and 342.54

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Solution

The fourth proportional to 482.20, 665.24 and 342.54 is: 472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.20 : 665.24 = 342.54 : x
  2. Step 2: Convert to fraction form
    482.20/665.24 = 342.54/x
  3. Step 3: Cross multiply
    482.20x = 665.24 × 342.54
  4. Step 4: Simplify right side
    482.20x = 227,871.31
  5. Step 5: Solve for x
    x = 227,871.31/482.20
  6. Step 6: Final answer
    x = 472.57

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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.