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Finding the Fourth Proportional to 309.84, 464.68 and 223.12

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Solution

The fourth proportional to 309.84, 464.68 and 223.12 is: 334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.84 : 464.68 = 223.12 : x
  2. Step 2: Convert to fraction form
    309.84/464.68 = 223.12/x
  3. Step 3: Cross multiply
    309.84x = 464.68 × 223.12
  4. Step 4: Simplify right side
    309.84x = 103,679.40
  5. Step 5: Solve for x
    x = 103,679.40/309.84
  6. Step 6: Final answer
    x = 334.62

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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.