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Finding the Fourth Proportional to 395.86, 546.10 and 364.27

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Solution

The fourth proportional to 395.86, 546.10 and 364.27 is: 502.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.86 : 546.10 = 364.27 : x
  2. Step 2: Convert to fraction form
    395.86/546.10 = 364.27/x
  3. Step 3: Cross multiply
    395.86x = 546.10 × 364.27
  4. Step 4: Simplify right side
    395.86x = 198,927.85
  5. Step 5: Solve for x
    x = 198,927.85/395.86
  6. Step 6: Final answer
    x = 502.52

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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.