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Finding the Fourth Proportional to 536.15, 739.62 and 349.56

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Solution

The fourth proportional to 536.15, 739.62 and 349.56 is: 482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.15 : 739.62 = 349.56 : x
  2. Step 2: Convert to fraction form
    536.15/739.62 = 349.56/x
  3. Step 3: Cross multiply
    536.15x = 739.62 × 349.56
  4. Step 4: Simplify right side
    536.15x = 258,541.57
  5. Step 5: Solve for x
    x = 258,541.57/536.15
  6. Step 6: Final answer
    x = 482.22

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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.