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Finding the Fourth Proportional to 536.14, 739.84 and 296.82

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Solution

The fourth proportional to 536.14, 739.84 and 296.82 is: 409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.14 : 739.84 = 296.82 : x
  2. Step 2: Convert to fraction form
    536.14/739.84 = 296.82/x
  3. Step 3: Cross multiply
    536.14x = 739.84 × 296.82
  4. Step 4: Simplify right side
    536.14x = 219,599.31
  5. Step 5: Solve for x
    x = 219,599.31/536.14
  6. Step 6: Final answer
    x = 409.59

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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.