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Finding the Fourth Proportional to 482.90, 666.41 and 261.86

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Solution

The fourth proportional to 482.90, 666.41 and 261.86 is: 361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.90 : 666.41 = 261.86 : x
  2. Step 2: Convert to fraction form
    482.90/666.41 = 261.86/x
  3. Step 3: Cross multiply
    482.90x = 666.41 × 261.86
  4. Step 4: Simplify right side
    482.90x = 174,504.83
  5. Step 5: Solve for x
    x = 174,504.83/482.90
  6. Step 6: Final answer
    x = 361.37

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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.