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Finding the Fourth Proportional to 362.80, 543 and 301.48

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Solution

The fourth proportional to 362.80, 543 and 301.48 is: 451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.80 : 543 = 301.48 : x
  2. Step 2: Convert to fraction form
    362.80/543 = 301.48/x
  3. Step 3: Cross multiply
    362.80x = 543 × 301.48
  4. Step 4: Simplify right side
    362.80x = 163,703.64
  5. Step 5: Solve for x
    x = 163,703.64/362.80
  6. Step 6: Final answer
    x = 451.22

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