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Finding the Fourth Proportional to 373.50, 559.80 and 199.80

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Solution

The fourth proportional to 373.50, 559.80 and 199.80 is: 299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.50 : 559.80 = 199.80 : x
  2. Step 2: Convert to fraction form
    373.50/559.80 = 199.80/x
  3. Step 3: Cross multiply
    373.50x = 559.80 × 199.80
  4. Step 4: Simplify right side
    373.50x = 111,848.04
  5. Step 5: Solve for x
    x = 111,848.04/373.50
  6. Step 6: Final answer
    x = 299.46

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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.