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Finding the Fourth Proportional to 277.70, 418.70 and 255.02

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Solution

The fourth proportional to 277.70, 418.70 and 255.02 is: 384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.70 : 418.70 = 255.02 : x
  2. Step 2: Convert to fraction form
    277.70/418.70 = 255.02/x
  3. Step 3: Cross multiply
    277.70x = 418.70 × 255.02
  4. Step 4: Simplify right side
    277.70x = 106,775.42
  5. Step 5: Solve for x
    x = 106,775.42/277.70
  6. Step 6: Final answer
    x = 384.51

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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.