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Finding the Fourth Proportional to 277.04, 414.60 and 185.48

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Solution

The fourth proportional to 277.04, 414.60 and 185.48 is: 277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.04 : 414.60 = 185.48 : x
  2. Step 2: Convert to fraction form
    277.04/414.60 = 185.48/x
  3. Step 3: Cross multiply
    277.04x = 414.60 × 185.48
  4. Step 4: Simplify right side
    277.04x = 76,900.01
  5. Step 5: Solve for x
    x = 76,900.01/277.04
  6. Step 6: Final answer
    x = 277.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.