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Finding the Fourth Proportional to 328.48, 453.40 and 212.02

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Solution

The fourth proportional to 328.48, 453.40 and 212.02 is: 292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.48 : 453.40 = 212.02 : x
  2. Step 2: Convert to fraction form
    328.48/453.40 = 212.02/x
  3. Step 3: Cross multiply
    328.48x = 453.40 × 212.02
  4. Step 4: Simplify right side
    328.48x = 96,129.87
  5. Step 5: Solve for x
    x = 96,129.87/328.48
  6. Step 6: Final answer
    x = 292.65

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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.