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Finding the Fourth Proportional to 372.49, 511.65 and 361.55

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Solution

The fourth proportional to 372.49, 511.65 and 361.55 is: 496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.49 : 511.65 = 361.55 : x
  2. Step 2: Convert to fraction form
    372.49/511.65 = 361.55/x
  3. Step 3: Cross multiply
    372.49x = 511.65 × 361.55
  4. Step 4: Simplify right side
    372.49x = 184,988.34
  5. Step 5: Solve for x
    x = 184,988.34/372.49
  6. Step 6: Final answer
    x = 496.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.