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Finding the Fourth Proportional to 905.21, 1,358.23 and 320.66

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Solution

The fourth proportional to 905.21, 1,358.23 and 320.66 is: 481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.21 : 1,358.23 = 320.66 : x
  2. Step 2: Convert to fraction form
    905.21/1,358.23 = 320.66/x
  3. Step 3: Cross multiply
    905.21x = 1,358.23 × 320.66
  4. Step 4: Simplify right side
    905.21x = 435,523.24
  5. Step 5: Solve for x
    x = 435,523.24/905.21
  6. Step 6: Final answer
    x = 481.13

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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.