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Finding the Fourth Proportional to 344.88, 476.28 and 287.28

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Solution

The fourth proportional to 344.88, 476.28 and 287.28 is: 396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.88 : 476.28 = 287.28 : x
  2. Step 2: Convert to fraction form
    344.88/476.28 = 287.28/x
  3. Step 3: Cross multiply
    344.88x = 476.28 × 287.28
  4. Step 4: Simplify right side
    344.88x = 136,825.72
  5. Step 5: Solve for x
    x = 136,825.72/344.88
  6. Step 6: Final answer
    x = 396.73

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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.