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Finding the Fourth Proportional to 309.65, 466.28 and 223.58

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Solution

The fourth proportional to 309.65, 466.28 and 223.58 is: 336.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.65 : 466.28 = 223.58 : x
  2. Step 2: Convert to fraction form
    309.65/466.28 = 223.58/x
  3. Step 3: Cross multiply
    309.65x = 466.28 × 223.58
  4. Step 4: Simplify right side
    309.65x = 104,247.43
  5. Step 5: Solve for x
    x = 104,247.43/309.65
  6. Step 6: Final answer
    x = 336.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.