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Finding the Fourth Proportional to 540.58, 810.70 and 198.50

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Solution

The fourth proportional to 540.58, 810.70 and 198.50 is: 297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.58 : 810.70 = 198.50 : x
  2. Step 2: Convert to fraction form
    540.58/810.70 = 198.50/x
  3. Step 3: Cross multiply
    540.58x = 810.70 × 198.50
  4. Step 4: Simplify right side
    540.58x = 160,923.95
  5. Step 5: Solve for x
    x = 160,923.95/540.58
  6. Step 6: Final answer
    x = 297.69

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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.