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Finding the Fourth Proportional to 277.70, 419.85 and 277.70

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Solution

The fourth proportional to 277.70, 419.85 and 277.70 is: 419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.70 : 419.85 = 277.70 : x
  2. Step 2: Convert to fraction form
    277.70/419.85 = 277.70/x
  3. Step 3: Cross multiply
    277.70x = 419.85 × 277.70
  4. Step 4: Simplify right side
    277.70x = 116,590.96
  5. Step 5: Solve for x
    x = 116,590.96/277.70
  6. Step 6: Final answer
    x = 419.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.