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Finding the Fourth Proportional to 482.38, 665.38 and 285.75

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Solution

The fourth proportional to 482.38, 665.38 and 285.75 is: 394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.38 : 665.38 = 285.75 : x
  2. Step 2: Convert to fraction form
    482.38/665.38 = 285.75/x
  3. Step 3: Cross multiply
    482.38x = 665.38 × 285.75
  4. Step 4: Simplify right side
    482.38x = 190,132.69
  5. Step 5: Solve for x
    x = 190,132.69/482.38
  6. Step 6: Final answer
    x = 394.16

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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.