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Finding the Fourth Proportional to 558.24, 837.50 and 211.57

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Solution

The fourth proportional to 558.24, 837.50 and 211.57 is: 317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.24 : 837.50 = 211.57 : x
  2. Step 2: Convert to fraction form
    558.24/837.50 = 211.57/x
  3. Step 3: Cross multiply
    558.24x = 837.50 × 211.57
  4. Step 4: Simplify right side
    558.24x = 177,189.88
  5. Step 5: Solve for x
    x = 177,189.88/558.24
  6. Step 6: Final answer
    x = 317.41

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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.