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Finding the Fourth Proportional to 373.22, 558.66 and 199.45

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Solution

The fourth proportional to 373.22, 558.66 and 199.45 is: 298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.22 : 558.66 = 199.45 : x
  2. Step 2: Convert to fraction form
    373.22/558.66 = 199.45/x
  3. Step 3: Cross multiply
    373.22x = 558.66 × 199.45
  4. Step 4: Simplify right side
    373.22x = 111,424.74
  5. Step 5: Solve for x
    x = 111,424.74/373.22
  6. Step 6: Final answer
    x = 298.55

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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.