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Finding the Fourth Proportional to 328.64, 455.44 and 324

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Solution

The fourth proportional to 328.64, 455.44 and 324 is: 449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.64 : 455.44 = 324 : x
  2. Step 2: Convert to fraction form
    328.64/455.44 = 324/x
  3. Step 3: Cross multiply
    328.64x = 455.44 × 324
  4. Step 4: Simplify right side
    328.64x = 147,562.56
  5. Step 5: Solve for x
    x = 147,562.56/328.64
  6. Step 6: Final answer
    x = 449.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.