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Finding the Fourth Proportional to 451.04, 675 and 277.64

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Solution

The fourth proportional to 451.04, 675 and 277.64 is: 415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.04 : 675 = 277.64 : x
  2. Step 2: Convert to fraction form
    451.04/675 = 277.64/x
  3. Step 3: Cross multiply
    451.04x = 675 × 277.64
  4. Step 4: Simplify right side
    451.04x = 187,407
  5. Step 5: Solve for x
    x = 187,407/451.04
  6. Step 6: Final answer
    x = 415.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.