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Finding the Fourth Proportional to 438.94, 605.50 and 261.82

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Solution

The fourth proportional to 438.94, 605.50 and 261.82 is: 361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.94 : 605.50 = 261.82 : x
  2. Step 2: Convert to fraction form
    438.94/605.50 = 261.82/x
  3. Step 3: Cross multiply
    438.94x = 605.50 × 261.82
  4. Step 4: Simplify right side
    438.94x = 158,532.01
  5. Step 5: Solve for x
    x = 158,532.01/438.94
  6. Step 6: Final answer
    x = 361.17

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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.