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Finding the Fourth Proportional to 309.45, 427.06 and 178.45

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Solution

The fourth proportional to 309.45, 427.06 and 178.45 is: 246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.45 : 427.06 = 178.45 : x
  2. Step 2: Convert to fraction form
    309.45/427.06 = 178.45/x
  3. Step 3: Cross multiply
    309.45x = 427.06 × 178.45
  4. Step 4: Simplify right side
    309.45x = 76,210.16
  5. Step 5: Solve for x
    x = 76,210.16/309.45
  6. Step 6: Final answer
    x = 246.28

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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.