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Finding the Fourth Proportional to 200.34, 299.79 and 145.56

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Solution

The fourth proportional to 200.34, 299.79 and 145.56 is: 217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.34 : 299.79 = 145.56 : x
  2. Step 2: Convert to fraction form
    200.34/299.79 = 145.56/x
  3. Step 3: Cross multiply
    200.34x = 299.79 × 145.56
  4. Step 4: Simplify right side
    200.34x = 43,637.43
  5. Step 5: Solve for x
    x = 43,637.43/200.34
  6. Step 6: Final answer
    x = 217.82

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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.