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Finding the Fourth Proportional to 395.88, 546.12 and 230.06

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Solution

The fourth proportional to 395.88, 546.12 and 230.06 is: 317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.88 : 546.12 = 230.06 : x
  2. Step 2: Convert to fraction form
    395.88/546.12 = 230.06/x
  3. Step 3: Cross multiply
    395.88x = 546.12 × 230.06
  4. Step 4: Simplify right side
    395.88x = 125,640.37
  5. Step 5: Solve for x
    x = 125,640.37/395.88
  6. Step 6: Final answer
    x = 317.37

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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.