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Finding the Fourth Proportional to 558.53, 837.62 and 193.22

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Solution

The fourth proportional to 558.53, 837.62 and 193.22 is: 289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.53 : 837.62 = 193.22 : x
  2. Step 2: Convert to fraction form
    558.53/837.62 = 193.22/x
  3. Step 3: Cross multiply
    558.53x = 837.62 × 193.22
  4. Step 4: Simplify right side
    558.53x = 161,843.97
  5. Step 5: Solve for x
    x = 161,843.97/558.53
  6. Step 6: Final answer
    x = 289.77

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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.