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Finding the Fourth Proportional to 451.94, 675.15 and 360.82

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Solution

The fourth proportional to 451.94, 675.15 and 360.82 is: 539.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.94 : 675.15 = 360.82 : x
  2. Step 2: Convert to fraction form
    451.94/675.15 = 360.82/x
  3. Step 3: Cross multiply
    451.94x = 675.15 × 360.82
  4. Step 4: Simplify right side
    451.94x = 243,607.62
  5. Step 5: Solve for x
    x = 243,607.62/451.94
  6. Step 6: Final answer
    x = 539.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.