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Finding the Fourth Proportional to 344.33, 476.40 and 300.75

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Solution

The fourth proportional to 344.33, 476.40 and 300.75 is: 416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.33 : 476.40 = 300.75 : x
  2. Step 2: Convert to fraction form
    344.33/476.40 = 300.75/x
  3. Step 3: Cross multiply
    344.33x = 476.40 × 300.75
  4. Step 4: Simplify right side
    344.33x = 143,277.30
  5. Step 5: Solve for x
    x = 143,277.30/344.33
  6. Step 6: Final answer
    x = 416.10

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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.