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Finding the Fourth Proportional to 277.56, 414.27 and 245.52

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Solution

The fourth proportional to 277.56, 414.27 and 245.52 is: 366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.56 : 414.27 = 245.52 : x
  2. Step 2: Convert to fraction form
    277.56/414.27 = 245.52/x
  3. Step 3: Cross multiply
    277.56x = 414.27 × 245.52
  4. Step 4: Simplify right side
    277.56x = 101,711.57
  5. Step 5: Solve for x
    x = 101,711.57/277.56
  6. Step 6: Final answer
    x = 366.45

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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.