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Finding the Fourth Proportional to 558.74, 838.25 and 193.53

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Solution

The fourth proportional to 558.74, 838.25 and 193.53 is: 290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.74 : 838.25 = 193.53 : x
  2. Step 2: Convert to fraction form
    558.74/838.25 = 193.53/x
  3. Step 3: Cross multiply
    558.74x = 838.25 × 193.53
  4. Step 4: Simplify right side
    558.74x = 162,225.55
  5. Step 5: Solve for x
    x = 162,225.55/558.74
  6. Step 6: Final answer
    x = 290.34

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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.