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Finding the Fourth Proportional to 395.84, 546.43 and 290.94

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Solution

The fourth proportional to 395.84, 546.43 and 290.94 is: 401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.84 : 546.43 = 290.94 : x
  2. Step 2: Convert to fraction form
    395.84/546.43 = 290.94/x
  3. Step 3: Cross multiply
    395.84x = 546.43 × 290.94
  4. Step 4: Simplify right side
    395.84x = 158,978.34
  5. Step 5: Solve for x
    x = 158,978.34/395.84
  6. Step 6: Final answer
    x = 401.62

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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.