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Finding the Fourth Proportional to 389.10, 536.95 and 214.44

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Solution

The fourth proportional to 389.10, 536.95 and 214.44 is: 295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.10 : 536.95 = 214.44 : x
  2. Step 2: Convert to fraction form
    389.10/536.95 = 214.44/x
  3. Step 3: Cross multiply
    389.10x = 536.95 × 214.44
  4. Step 4: Simplify right side
    389.10x = 115,143.56
  5. Step 5: Solve for x
    x = 115,143.56/389.10
  6. Step 6: Final answer
    x = 295.92

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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.