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Finding the Fourth Proportional to 361.37, 540.73 and 313.19

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Solution

The fourth proportional to 361.37, 540.73 and 313.19 is: 468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.37 : 540.73 = 313.19 : x
  2. Step 2: Convert to fraction form
    361.37/540.73 = 313.19/x
  3. Step 3: Cross multiply
    361.37x = 540.73 × 313.19
  4. Step 4: Simplify right side
    361.37x = 169,347.74
  5. Step 5: Solve for x
    x = 169,347.74/361.37
  6. Step 6: Final answer
    x = 468.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.