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Finding the Fourth Proportional to 328.75, 453.69 and 212.65

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Solution

The fourth proportional to 328.75, 453.69 and 212.65 is: 293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.75 : 453.69 = 212.65 : x
  2. Step 2: Convert to fraction form
    328.75/453.69 = 212.65/x
  3. Step 3: Cross multiply
    328.75x = 453.69 × 212.65
  4. Step 4: Simplify right side
    328.75x = 96,475.44
  5. Step 5: Solve for x
    x = 96,475.44/328.75
  6. Step 6: Final answer
    x = 293.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.