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Finding the Fourth Proportional to 394.98, 543.63 and 301.56

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Solution

The fourth proportional to 394.98, 543.63 and 301.56 is: 415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.98 : 543.63 = 301.56 : x
  2. Step 2: Convert to fraction form
    394.98/543.63 = 301.56/x
  3. Step 3: Cross multiply
    394.98x = 543.63 × 301.56
  4. Step 4: Simplify right side
    394.98x = 163,937.06
  5. Step 5: Solve for x
    x = 163,937.06/394.98
  6. Step 6: Final answer
    x = 415.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.