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Finding the Fourth Proportional to 570.31, 855.41 and 223.63

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Solution

The fourth proportional to 570.31, 855.41 and 223.63 is: 335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.31 : 855.41 = 223.63 : x
  2. Step 2: Convert to fraction form
    570.31/855.41 = 223.63/x
  3. Step 3: Cross multiply
    570.31x = 855.41 × 223.63
  4. Step 4: Simplify right side
    570.31x = 191,292.08
  5. Step 5: Solve for x
    x = 191,292.08/570.31
  6. Step 6: Final answer
    x = 335.42

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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.