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Finding the Fourth Proportional to 328.51, 453.50 and 211.87

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Solution

The fourth proportional to 328.51, 453.50 and 211.87 is: 292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.51 : 453.50 = 211.87 : x
  2. Step 2: Convert to fraction form
    328.51/453.50 = 211.87/x
  3. Step 3: Cross multiply
    328.51x = 453.50 × 211.87
  4. Step 4: Simplify right side
    328.51x = 96,083.05
  5. Step 5: Solve for x
    x = 96,083.05/328.51
  6. Step 6: Final answer
    x = 292.48

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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.