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Finding the Fourth Proportional to 344.90, 476.60 and 261.87

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Solution

The fourth proportional to 344.90, 476.60 and 261.87 is: 361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.90 : 476.60 = 261.87 : x
  2. Step 2: Convert to fraction form
    344.90/476.60 = 261.87/x
  3. Step 3: Cross multiply
    344.90x = 476.60 × 261.87
  4. Step 4: Simplify right side
    344.90x = 124,805.93
  5. Step 5: Solve for x
    x = 124,805.93/344.90
  6. Step 6: Final answer
    x = 361.87

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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.