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Finding the Fourth Proportional to 395.83, 546.27 and 238.51

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Solution

The fourth proportional to 395.83, 546.27 and 238.51 is: 329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.83 : 546.27 = 238.51 : x
  2. Step 2: Convert to fraction form
    395.83/546.27 = 238.51/x
  3. Step 3: Cross multiply
    395.83x = 546.27 × 238.51
  4. Step 4: Simplify right side
    395.83x = 130,292.91
  5. Step 5: Solve for x
    x = 130,292.91/395.83
  6. Step 6: Final answer
    x = 329.16

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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.