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Finding the Fourth Proportional to 905.22, 1,356.96 and 357.22

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Solution

The fourth proportional to 905.22, 1,356.96 and 357.22 is: 535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.22 : 1,356.96 = 357.22 : x
  2. Step 2: Convert to fraction form
    905.22/1,356.96 = 357.22/x
  3. Step 3: Cross multiply
    905.22x = 1,356.96 × 357.22
  4. Step 4: Simplify right side
    905.22x = 484,733.25
  5. Step 5: Solve for x
    x = 484,733.25/905.22
  6. Step 6: Final answer
    x = 535.49

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Double scale
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Similar ratio
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1.5x scale

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.