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Finding the Fourth Proportional to 361.90, 538.50 and 360.69

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Solution

The fourth proportional to 361.90, 538.50 and 360.69 is: 536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.90 : 538.50 = 360.69 : x
  2. Step 2: Convert to fraction form
    361.90/538.50 = 360.69/x
  3. Step 3: Cross multiply
    361.90x = 538.50 × 360.69
  4. Step 4: Simplify right side
    361.90x = 194,231.57
  5. Step 5: Solve for x
    x = 194,231.57/361.90
  6. Step 6: Final answer
    x = 536.70

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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.