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Finding the Fourth Proportional to 199.56, 298.89 and 145.40

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Solution

The fourth proportional to 199.56, 298.89 and 145.40 is: 217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.56 : 298.89 = 145.40 : x
  2. Step 2: Convert to fraction form
    199.56/298.89 = 145.40/x
  3. Step 3: Cross multiply
    199.56x = 298.89 × 145.40
  4. Step 4: Simplify right side
    199.56x = 43,457.11
  5. Step 5: Solve for x
    x = 43,457.11/199.56
  6. Step 6: Final answer
    x = 217.76

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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.