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Finding the Fourth Proportional to 310.26, 467.20 and 229.67

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Solution

The fourth proportional to 310.26, 467.20 and 229.67 is: 345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.26 : 467.20 = 229.67 : x
  2. Step 2: Convert to fraction form
    310.26/467.20 = 229.67/x
  3. Step 3: Cross multiply
    310.26x = 467.20 × 229.67
  4. Step 4: Simplify right side
    310.26x = 107,301.82
  5. Step 5: Solve for x
    x = 107,301.82/310.26
  6. Step 6: Final answer
    x = 345.84

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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.