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Finding the Fourth Proportional to 389.92, 538.09 and 215.27

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Solution

The fourth proportional to 389.92, 538.09 and 215.27 is: 297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.92 : 538.09 = 215.27 : x
  2. Step 2: Convert to fraction form
    389.92/538.09 = 215.27/x
  3. Step 3: Cross multiply
    389.92x = 538.09 × 215.27
  4. Step 4: Simplify right side
    389.92x = 115,834.63
  5. Step 5: Solve for x
    x = 115,834.63/389.92
  6. Step 6: Final answer
    x = 297.07

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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.