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Finding the Fourth Proportional to 277.20, 414.18 and 277.20

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Solution

The fourth proportional to 277.20, 414.18 and 277.20 is: 414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.20 : 414.18 = 277.20 : x
  2. Step 2: Convert to fraction form
    277.20/414.18 = 277.20/x
  3. Step 3: Cross multiply
    277.20x = 414.18 × 277.20
  4. Step 4: Simplify right side
    277.20x = 114,810.70
  5. Step 5: Solve for x
    x = 114,810.70/277.20
  6. Step 6: Final answer
    x = 414.18

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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.