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Finding the Fourth Proportional to 536.38, 739.63 and 350.03

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Solution

The fourth proportional to 536.38, 739.63 and 350.03 is: 482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.38 : 739.63 = 350.03 : x
  2. Step 2: Convert to fraction form
    536.38/739.63 = 350.03/x
  3. Step 3: Cross multiply
    536.38x = 739.63 × 350.03
  4. Step 4: Simplify right side
    536.38x = 258,892.69
  5. Step 5: Solve for x
    x = 258,892.69/536.38
  6. Step 6: Final answer
    x = 482.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.