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Finding the Fourth Proportional to 536.54, 739.35 and 349.82

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Solution

The fourth proportional to 536.54, 739.35 and 349.82 is: 482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.54 : 739.35 = 349.82 : x
  2. Step 2: Convert to fraction form
    536.54/739.35 = 349.82/x
  3. Step 3: Cross multiply
    536.54x = 739.35 × 349.82
  4. Step 4: Simplify right side
    536.54x = 258,639.42
  5. Step 5: Solve for x
    x = 258,639.42/536.54
  6. Step 6: Final answer
    x = 482.05

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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.