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Finding the Fourth Proportional to 438.96, 605.36 and 395.76

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Solution

The fourth proportional to 438.96, 605.36 and 395.76 is: 545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.96 : 605.36 = 395.76 : x
  2. Step 2: Convert to fraction form
    438.96/605.36 = 395.76/x
  3. Step 3: Cross multiply
    438.96x = 605.36 × 395.76
  4. Step 4: Simplify right side
    438.96x = 239,577.27
  5. Step 5: Solve for x
    x = 239,577.27/438.96
  6. Step 6: Final answer
    x = 545.78

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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.