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Finding the Fourth Proportional to 438.36, 604.78 and 261.37

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Solution

The fourth proportional to 438.36, 604.78 and 261.37 is: 360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.36 : 604.78 = 261.37 : x
  2. Step 2: Convert to fraction form
    438.36/604.78 = 261.37/x
  3. Step 3: Cross multiply
    438.36x = 604.78 × 261.37
  4. Step 4: Simplify right side
    438.36x = 158,071.35
  5. Step 5: Solve for x
    x = 158,071.35/438.36
  6. Step 6: Final answer
    x = 360.60

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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.