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Finding the Fourth Proportional to 482.26, 665.54 and 283.22

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Solution

The fourth proportional to 482.26, 665.54 and 283.22 is: 390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.26 : 665.54 = 283.22 : x
  2. Step 2: Convert to fraction form
    482.26/665.54 = 283.22/x
  3. Step 3: Cross multiply
    482.26x = 665.54 × 283.22
  4. Step 4: Simplify right side
    482.26x = 188,494.24
  5. Step 5: Solve for x
    x = 188,494.24/482.26
  6. Step 6: Final answer
    x = 390.86

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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.