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Finding the Fourth Proportional to 492.72, 735.98 and 361.56

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Solution

The fourth proportional to 492.72, 735.98 and 361.56 is: 540.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.72 : 735.98 = 361.56 : x
  2. Step 2: Convert to fraction form
    492.72/735.98 = 361.56/x
  3. Step 3: Cross multiply
    492.72x = 735.98 × 361.56
  4. Step 4: Simplify right side
    492.72x = 266,100.93
  5. Step 5: Solve for x
    x = 266,100.93/492.72
  6. Step 6: Final answer
    x = 540.07

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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.