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Finding the Fourth Proportional to 328.92, 457.08 and 325.59

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Solution

The fourth proportional to 328.92, 457.08 and 325.59 is: 452.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.92 : 457.08 = 325.59 : x
  2. Step 2: Convert to fraction form
    328.92/457.08 = 325.59/x
  3. Step 3: Cross multiply
    328.92x = 457.08 × 325.59
  4. Step 4: Simplify right side
    328.92x = 148,820.68
  5. Step 5: Solve for x
    x = 148,820.68/328.92
  6. Step 6: Final answer
    x = 452.45

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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.