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Finding the Fourth Proportional to 438.56, 605.20 and 263.87

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Solution

The fourth proportional to 438.56, 605.20 and 263.87 is: 364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.56 : 605.20 = 263.87 : x
  2. Step 2: Convert to fraction form
    438.56/605.20 = 263.87/x
  3. Step 3: Cross multiply
    438.56x = 605.20 × 263.87
  4. Step 4: Simplify right side
    438.56x = 159,692.21
  5. Step 5: Solve for x
    x = 159,692.21/438.56
  6. Step 6: Final answer
    x = 364.13

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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.