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Finding the Fourth Proportional to 328.67, 453.73 and 212.30

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Solution

The fourth proportional to 328.67, 453.73 and 212.30 is: 293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.67 : 453.73 = 212.30 : x
  2. Step 2: Convert to fraction form
    328.67/453.73 = 212.30/x
  3. Step 3: Cross multiply
    328.67x = 453.73 × 212.30
  4. Step 4: Simplify right side
    328.67x = 96,325.82
  5. Step 5: Solve for x
    x = 96,325.82/328.67
  6. Step 6: Final answer
    x = 293.08

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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.