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Finding the Fourth Proportional to 482.30, 665.62 and 285.83

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Solution

The fourth proportional to 482.30, 665.62 and 285.83 is: 394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.30 : 665.62 = 285.83 : x
  2. Step 2: Convert to fraction form
    482.30/665.62 = 285.83/x
  3. Step 3: Cross multiply
    482.30x = 665.62 × 285.83
  4. Step 4: Simplify right side
    482.30x = 190,250.12
  5. Step 5: Solve for x
    x = 190,250.12/482.30
  6. Step 6: Final answer
    x = 394.47

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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.