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Finding the Fourth Proportional to 905.23, 1,358.32 and 357.41

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Solution

The fourth proportional to 905.23, 1,358.32 and 357.41 is: 536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.23 : 1,358.32 = 357.41 : x
  2. Step 2: Convert to fraction form
    905.23/1,358.32 = 357.41/x
  3. Step 3: Cross multiply
    905.23x = 1,358.32 × 357.41
  4. Step 4: Simplify right side
    905.23x = 485,480.32
  5. Step 5: Solve for x
    x = 485,480.32/905.23
  6. Step 6: Final answer
    x = 536.31

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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.