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Finding the Fourth Proportional to 361.94, 540.57 and 313.34

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Solution

The fourth proportional to 361.94, 540.57 and 313.34 is: 467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.94 : 540.57 = 313.34 : x
  2. Step 2: Convert to fraction form
    361.94/540.57 = 313.34/x
  3. Step 3: Cross multiply
    361.94x = 540.57 × 313.34
  4. Step 4: Simplify right side
    361.94x = 169,380.64
  5. Step 5: Solve for x
    x = 169,380.64/361.94
  6. Step 6: Final answer
    x = 467.98

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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.