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Finding the Fourth Proportional to 436.73, 602.37 and 361.80

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Solution

The fourth proportional to 436.73, 602.37 and 361.80 is: 499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.73 : 602.37 = 361.80 : x
  2. Step 2: Convert to fraction form
    436.73/602.37 = 361.80/x
  3. Step 3: Cross multiply
    436.73x = 602.37 × 361.80
  4. Step 4: Simplify right side
    436.73x = 217,937.47
  5. Step 5: Solve for x
    x = 217,937.47/436.73
  6. Step 6: Final answer
    x = 499.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.