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Finding the Fourth Proportional to 277.50, 414.40 and 247.26

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Solution

The fourth proportional to 277.50, 414.40 and 247.26 is: 369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.50 : 414.40 = 247.26 : x
  2. Step 2: Convert to fraction form
    277.50/414.40 = 247.26/x
  3. Step 3: Cross multiply
    277.50x = 414.40 × 247.26
  4. Step 4: Simplify right side
    277.50x = 102,464.54
  5. Step 5: Solve for x
    x = 102,464.54/277.50
  6. Step 6: Final answer
    x = 369.24

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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.