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Finding the Fourth Proportional to 309.56, 427.03 and 211.28

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Solution

The fourth proportional to 309.56, 427.03 and 211.28 is: 291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.56 : 427.03 = 211.28 : x
  2. Step 2: Convert to fraction form
    309.56/427.03 = 211.28/x
  3. Step 3: Cross multiply
    309.56x = 427.03 × 211.28
  4. Step 4: Simplify right side
    309.56x = 90,220.24
  5. Step 5: Solve for x
    x = 90,220.24/309.56
  6. Step 6: Final answer
    x = 291.45

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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.