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Finding the Fourth Proportional to 301.78, 416.34 and 271.05

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Solution

The fourth proportional to 301.78, 416.34 and 271.05 is: 373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.78 : 416.34 = 271.05 : x
  2. Step 2: Convert to fraction form
    301.78/416.34 = 271.05/x
  3. Step 3: Cross multiply
    301.78x = 416.34 × 271.05
  4. Step 4: Simplify right side
    301.78x = 112,847.40
  5. Step 5: Solve for x
    x = 112,847.40/301.78
  6. Step 6: Final answer
    x = 373.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.