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Finding the Fourth Proportional to 852.49, 1,278.72 and 219.26

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Solution

The fourth proportional to 852.49, 1,278.72 and 219.26 is: 328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.49 : 1,278.72 = 219.26 : x
  2. Step 2: Convert to fraction form
    852.49/1,278.72 = 219.26/x
  3. Step 3: Cross multiply
    852.49x = 1,278.72 × 219.26
  4. Step 4: Simplify right side
    852.49x = 280,372.83
  5. Step 5: Solve for x
    x = 280,372.83/852.49
  6. Step 6: Final answer
    x = 328.89

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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.