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Finding the Fourth Proportional to 344.84, 476.51 and 261.80

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Solution

The fourth proportional to 344.84, 476.51 and 261.80 is: 361.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.84 : 476.51 = 261.80 : x
  2. Step 2: Convert to fraction form
    344.84/476.51 = 261.80/x
  3. Step 3: Cross multiply
    344.84x = 476.51 × 261.80
  4. Step 4: Simplify right side
    344.84x = 124,750.32
  5. Step 5: Solve for x
    x = 124,750.32/344.84
  6. Step 6: Final answer
    x = 361.76

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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.