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Finding the Fourth Proportional to 259.95, 391.33 and 199.35

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Solution

The fourth proportional to 259.95, 391.33 and 199.35 is: 300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.95 : 391.33 = 199.35 : x
  2. Step 2: Convert to fraction form
    259.95/391.33 = 199.35/x
  3. Step 3: Cross multiply
    259.95x = 391.33 × 199.35
  4. Step 4: Simplify right side
    259.95x = 78,011.64
  5. Step 5: Solve for x
    x = 78,011.64/259.95
  6. Step 6: Final answer
    x = 300.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.