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Finding the Fourth Proportional to 482.28, 665.37 and 285.72

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Solution

The fourth proportional to 482.28, 665.37 and 285.72 is: 394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.28 : 665.37 = 285.72 : x
  2. Step 2: Convert to fraction form
    482.28/665.37 = 285.72/x
  3. Step 3: Cross multiply
    482.28x = 665.37 × 285.72
  4. Step 4: Simplify right side
    482.28x = 190,109.52
  5. Step 5: Solve for x
    x = 190,109.52/482.28
  6. Step 6: Final answer
    x = 394.19

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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.