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Finding the Fourth Proportional to 905.40, 1,358.06 and 320.22

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Solution

The fourth proportional to 905.40, 1,358.06 and 320.22 is: 480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.40 : 1,358.06 = 320.22 : x
  2. Step 2: Convert to fraction form
    905.40/1,358.06 = 320.22/x
  3. Step 3: Cross multiply
    905.40x = 1,358.06 × 320.22
  4. Step 4: Simplify right side
    905.40x = 434,876.37
  5. Step 5: Solve for x
    x = 434,876.37/905.40
  6. Step 6: Final answer
    x = 480.31

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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.