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Finding the Fourth Proportional to 361.49, 540.95 and 340.70

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Solution

The fourth proportional to 361.49, 540.95 and 340.70 is: 509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.49 : 540.95 = 340.70 : x
  2. Step 2: Convert to fraction form
    361.49/540.95 = 340.70/x
  3. Step 3: Cross multiply
    361.49x = 540.95 × 340.70
  4. Step 4: Simplify right side
    361.49x = 184,297.26
  5. Step 5: Solve for x
    x = 184,297.26/361.49
  6. Step 6: Final answer
    x = 509.83

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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.