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Finding the Fourth Proportional to 277.02, 379.89 and 262.98

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Solution

The fourth proportional to 277.02, 379.89 and 262.98 is: 360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.02 : 379.89 = 262.98 : x
  2. Step 2: Convert to fraction form
    277.02/379.89 = 262.98/x
  3. Step 3: Cross multiply
    277.02x = 379.89 × 262.98
  4. Step 4: Simplify right side
    277.02x = 99,903.47
  5. Step 5: Solve for x
    x = 99,903.47/277.02
  6. Step 6: Final answer
    x = 360.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.