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Finding the Fourth Proportional to 346.24, 477.78 and 272.73

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Solution

The fourth proportional to 346.24, 477.78 and 272.73 is: 376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.24 : 477.78 = 272.73 : x
  2. Step 2: Convert to fraction form
    346.24/477.78 = 272.73/x
  3. Step 3: Cross multiply
    346.24x = 477.78 × 272.73
  4. Step 4: Simplify right side
    346.24x = 130,304.94
  5. Step 5: Solve for x
    x = 130,304.94/346.24
  6. Step 6: Final answer
    x = 376.34

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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.