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Finding the Fourth Proportional to 277.05, 412.89 and 268.23

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Solution

The fourth proportional to 277.05, 412.89 and 268.23 is: 399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.05 : 412.89 = 268.23 : x
  2. Step 2: Convert to fraction form
    277.05/412.89 = 268.23/x
  3. Step 3: Cross multiply
    277.05x = 412.89 × 268.23
  4. Step 4: Simplify right side
    277.05x = 110,749.48
  5. Step 5: Solve for x
    x = 110,749.48/277.05
  6. Step 6: Final answer
    x = 399.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.