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Finding the Fourth Proportional to 536.82, 806.89 and 355.38

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Solution

The fourth proportional to 536.82, 806.89 and 355.38 is: 534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.82 : 806.89 = 355.38 : x
  2. Step 2: Convert to fraction form
    536.82/806.89 = 355.38/x
  3. Step 3: Cross multiply
    536.82x = 806.89 × 355.38
  4. Step 4: Simplify right side
    536.82x = 286,752.57
  5. Step 5: Solve for x
    x = 286,752.57/536.82
  6. Step 6: Final answer
    x = 534.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.