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Finding the Fourth Proportional to 389.90, 538.13 and 232.54

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Solution

The fourth proportional to 389.90, 538.13 and 232.54 is: 320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.90 : 538.13 = 232.54 : x
  2. Step 2: Convert to fraction form
    389.90/538.13 = 232.54/x
  3. Step 3: Cross multiply
    389.90x = 538.13 × 232.54
  4. Step 4: Simplify right side
    389.90x = 125,134.24
  5. Step 5: Solve for x
    x = 125,134.24/389.90
  6. Step 6: Final answer
    x = 320.94

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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.