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Finding the Fourth Proportional to 335.07, 501.93 and 198.18

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Solution

The fourth proportional to 335.07, 501.93 and 198.18 is: 296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.07 : 501.93 = 198.18 : x
  2. Step 2: Convert to fraction form
    335.07/501.93 = 198.18/x
  3. Step 3: Cross multiply
    335.07x = 501.93 × 198.18
  4. Step 4: Simplify right side
    335.07x = 99,472.49
  5. Step 5: Solve for x
    x = 99,472.49/335.07
  6. Step 6: Final answer
    x = 296.87

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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.