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Finding the Fourth Proportional to 482.16, 665.64 and 334.92

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Solution

The fourth proportional to 482.16, 665.64 and 334.92 is: 462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.16 : 665.64 = 334.92 : x
  2. Step 2: Convert to fraction form
    482.16/665.64 = 334.92/x
  3. Step 3: Cross multiply
    482.16x = 665.64 × 334.92
  4. Step 4: Simplify right side
    482.16x = 222,936.15
  5. Step 5: Solve for x
    x = 222,936.15/482.16
  6. Step 6: Final answer
    x = 462.37

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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.