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Finding the Fourth Proportional to 309.09, 463.78 and 193.50

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Solution

The fourth proportional to 309.09, 463.78 and 193.50 is: 290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.09 : 463.78 = 193.50 : x
  2. Step 2: Convert to fraction form
    309.09/463.78 = 193.50/x
  3. Step 3: Cross multiply
    309.09x = 463.78 × 193.50
  4. Step 4: Simplify right side
    309.09x = 89,741.43
  5. Step 5: Solve for x
    x = 89,741.43/309.09
  6. Step 6: Final answer
    x = 290.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.