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Finding the Fourth Proportional to 200.13, 300.06 and 102.56

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Solution

The fourth proportional to 200.13, 300.06 and 102.56 is: 153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.13 : 300.06 = 102.56 : x
  2. Step 2: Convert to fraction form
    200.13/300.06 = 102.56/x
  3. Step 3: Cross multiply
    200.13x = 300.06 × 102.56
  4. Step 4: Simplify right side
    200.13x = 30,774.15
  5. Step 5: Solve for x
    x = 30,774.15/200.13
  6. Step 6: Final answer
    x = 153.77

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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.