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Finding the Fourth Proportional to 395.85, 546.03 and 291.09

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Solution

The fourth proportional to 395.85, 546.03 and 291.09 is: 401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.85 : 546.03 = 291.09 : x
  2. Step 2: Convert to fraction form
    395.85/546.03 = 291.09/x
  3. Step 3: Cross multiply
    395.85x = 546.03 × 291.09
  4. Step 4: Simplify right side
    395.85x = 158,943.87
  5. Step 5: Solve for x
    x = 158,943.87/395.85
  6. Step 6: Final answer
    x = 401.53

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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.