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Finding the Fourth Proportional to 394.88, 545.23 and 312.41

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Solution

The fourth proportional to 394.88, 545.23 and 312.41 is: 431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.88 : 545.23 = 312.41 : x
  2. Step 2: Convert to fraction form
    394.88/545.23 = 312.41/x
  3. Step 3: Cross multiply
    394.88x = 545.23 × 312.41
  4. Step 4: Simplify right side
    394.88x = 170,333.99
  5. Step 5: Solve for x
    x = 170,333.99/394.88
  6. Step 6: Final answer
    x = 431.36

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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.