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Finding the Fourth Proportional to 451.06, 622.36 and 274.02

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Solution

The fourth proportional to 451.06, 622.36 and 274.02 is: 378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.06 : 622.36 = 274.02 : x
  2. Step 2: Convert to fraction form
    451.06/622.36 = 274.02/x
  3. Step 3: Cross multiply
    451.06x = 622.36 × 274.02
  4. Step 4: Simplify right side
    451.06x = 170,537.75
  5. Step 5: Solve for x
    x = 170,537.75/451.06
  6. Step 6: Final answer
    x = 378.08

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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.