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Finding the Fourth Proportional to 277.02, 383.86 and 270.64

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Solution

The fourth proportional to 277.02, 383.86 and 270.64 is: 375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.02 : 383.86 = 270.64 : x
  2. Step 2: Convert to fraction form
    277.02/383.86 = 270.64/x
  3. Step 3: Cross multiply
    277.02x = 383.86 × 270.64
  4. Step 4: Simplify right side
    277.02x = 103,889.45
  5. Step 5: Solve for x
    x = 103,889.45/277.02
  6. Step 6: Final answer
    x = 375.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.