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Finding the Fourth Proportional to 361.70, 540.09 and 339.92

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Solution

The fourth proportional to 361.70, 540.09 and 339.92 is: 507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.70 : 540.09 = 339.92 : x
  2. Step 2: Convert to fraction form
    361.70/540.09 = 339.92/x
  3. Step 3: Cross multiply
    361.70x = 540.09 × 339.92
  4. Step 4: Simplify right side
    361.70x = 183,587.39
  5. Step 5: Solve for x
    x = 183,587.39/361.70
  6. Step 6: Final answer
    x = 507.57

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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.