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Finding the Fourth Proportional to 438.32, 605.02 and 272.46

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Solution

The fourth proportional to 438.32, 605.02 and 272.46 is: 376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.32 : 605.02 = 272.46 : x
  2. Step 2: Convert to fraction form
    438.32/605.02 = 272.46/x
  3. Step 3: Cross multiply
    438.32x = 605.02 × 272.46
  4. Step 4: Simplify right side
    438.32x = 164,843.75
  5. Step 5: Solve for x
    x = 164,843.75/438.32
  6. Step 6: Final answer
    x = 376.08

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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.