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Finding the Fourth Proportional to 482.12, 665.34 and 285.78

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Solution

The fourth proportional to 482.12, 665.34 and 285.78 is: 394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.12 : 665.34 = 285.78 : x
  2. Step 2: Convert to fraction form
    482.12/665.34 = 285.78/x
  3. Step 3: Cross multiply
    482.12x = 665.34 × 285.78
  4. Step 4: Simplify right side
    482.12x = 190,140.87
  5. Step 5: Solve for x
    x = 190,140.87/482.12
  6. Step 6: Final answer
    x = 394.38

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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.