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Finding the Fourth Proportional to 430.76, 645.83 and 199.33

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Solution

The fourth proportional to 430.76, 645.83 and 199.33 is: 298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.76 : 645.83 = 199.33 : x
  2. Step 2: Convert to fraction form
    430.76/645.83 = 199.33/x
  3. Step 3: Cross multiply
    430.76x = 645.83 × 199.33
  4. Step 4: Simplify right side
    430.76x = 128,731.43
  5. Step 5: Solve for x
    x = 128,731.43/430.76
  6. Step 6: Final answer
    x = 298.85

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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.