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Finding the Fourth Proportional to 482.54, 665.91 and 261.49

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Solution

The fourth proportional to 482.54, 665.91 and 261.49 is: 360.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.54 : 665.91 = 261.49 : x
  2. Step 2: Convert to fraction form
    482.54/665.91 = 261.49/x
  3. Step 3: Cross multiply
    482.54x = 665.91 × 261.49
  4. Step 4: Simplify right side
    482.54x = 174,128.81
  5. Step 5: Solve for x
    x = 174,128.81/482.54
  6. Step 6: Final answer
    x = 360.86

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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.