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Finding the Fourth Proportional to 438.52, 605.14 and 263.96

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Solution

The fourth proportional to 438.52, 605.14 and 263.96 is: 364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.52 : 605.14 = 263.96 : x
  2. Step 2: Convert to fraction form
    438.52/605.14 = 263.96/x
  3. Step 3: Cross multiply
    438.52x = 605.14 × 263.96
  4. Step 4: Simplify right side
    438.52x = 159,732.75
  5. Step 5: Solve for x
    x = 159,732.75/438.52
  6. Step 6: Final answer
    x = 364.25

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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.