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Finding the Fourth Proportional to 855.42, 1,283.10 and 270.42

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Solution

The fourth proportional to 855.42, 1,283.10 and 270.42 is: 405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.42 : 1,283.10 = 270.42 : x
  2. Step 2: Convert to fraction form
    855.42/1,283.10 = 270.42/x
  3. Step 3: Cross multiply
    855.42x = 1,283.10 × 270.42
  4. Step 4: Simplify right side
    855.42x = 346,975.90
  5. Step 5: Solve for x
    x = 346,975.90/855.42
  6. Step 6: Final answer
    x = 405.62

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Double scale
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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.