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Finding the Fourth Proportional to 573.42, 860.04 and 208.38

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Solution

The fourth proportional to 573.42, 860.04 and 208.38 is: 312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.42 : 860.04 = 208.38 : x
  2. Step 2: Convert to fraction form
    573.42/860.04 = 208.38/x
  3. Step 3: Cross multiply
    573.42x = 860.04 × 208.38
  4. Step 4: Simplify right side
    573.42x = 179,215.14
  5. Step 5: Solve for x
    x = 179,215.14/573.42
  6. Step 6: Final answer
    x = 312.54

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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.