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Finding the Fourth Proportional to 438.60, 605.18 and 272.84

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Solution

The fourth proportional to 438.60, 605.18 and 272.84 is: 376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.60 : 605.18 = 272.84 : x
  2. Step 2: Convert to fraction form
    438.60/605.18 = 272.84/x
  3. Step 3: Cross multiply
    438.60x = 605.18 × 272.84
  4. Step 4: Simplify right side
    438.60x = 165,117.31
  5. Step 5: Solve for x
    x = 165,117.31/438.60
  6. Step 6: Final answer
    x = 376.46

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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.