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Finding the Fourth Proportional to 328.05, 449.77 and 322.19

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Solution

The fourth proportional to 328.05, 449.77 and 322.19 is: 441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.05 : 449.77 = 322.19 : x
  2. Step 2: Convert to fraction form
    328.05/449.77 = 322.19/x
  3. Step 3: Cross multiply
    328.05x = 449.77 × 322.19
  4. Step 4: Simplify right side
    328.05x = 144,913.16
  5. Step 5: Solve for x
    x = 144,913.16/328.05
  6. Step 6: Final answer
    x = 441.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.