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Finding the Fourth Proportional to 362.72, 539.98 and 361.64

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Solution

The fourth proportional to 362.72, 539.98 and 361.64 is: 538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.72 : 539.98 = 361.64 : x
  2. Step 2: Convert to fraction form
    362.72/539.98 = 361.64/x
  3. Step 3: Cross multiply
    362.72x = 539.98 × 361.64
  4. Step 4: Simplify right side
    362.72x = 195,278.37
  5. Step 5: Solve for x
    x = 195,278.37/362.72
  6. Step 6: Final answer
    x = 538.37

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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.