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Finding the Fourth Proportional to 905.28, 1,358.08 and 328.20

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Solution

The fourth proportional to 905.28, 1,358.08 and 328.20 is: 492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.28 : 1,358.08 = 328.20 : x
  2. Step 2: Convert to fraction form
    905.28/1,358.08 = 328.20/x
  3. Step 3: Cross multiply
    905.28x = 1,358.08 × 328.20
  4. Step 4: Simplify right side
    905.28x = 445,721.86
  5. Step 5: Solve for x
    x = 445,721.86/905.28
  6. Step 6: Final answer
    x = 492.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.