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Finding the Fourth Proportional to 304.84, 456.18 and 223.48

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Solution

The fourth proportional to 304.84, 456.18 and 223.48 is: 334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.84 : 456.18 = 223.48 : x
  2. Step 2: Convert to fraction form
    304.84/456.18 = 223.48/x
  3. Step 3: Cross multiply
    304.84x = 456.18 × 223.48
  4. Step 4: Simplify right side
    304.84x = 101,947.11
  5. Step 5: Solve for x
    x = 101,947.11/304.84
  6. Step 6: Final answer
    x = 334.43

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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.