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Finding the Fourth Proportional to 328.20, 465.02 and 328.20

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Solution

The fourth proportional to 328.20, 465.02 and 328.20 is: 465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.20 : 465.02 = 328.20 : x
  2. Step 2: Convert to fraction form
    328.20/465.02 = 328.20/x
  3. Step 3: Cross multiply
    328.20x = 465.02 × 328.20
  4. Step 4: Simplify right side
    328.20x = 152,619.56
  5. Step 5: Solve for x
    x = 152,619.56/328.20
  6. Step 6: Final answer
    x = 465.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.