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Finding the Fourth Proportional to 200.50, 300.76 and 54.24

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Solution

The fourth proportional to 200.50, 300.76 and 54.24 is: 81.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.50 : 300.76 = 54.24 : x
  2. Step 2: Convert to fraction form
    200.50/300.76 = 54.24/x
  3. Step 3: Cross multiply
    200.50x = 300.76 × 54.24
  4. Step 4: Simplify right side
    200.50x = 16,313.09
  5. Step 5: Solve for x
    x = 16,313.09/200.50
  6. Step 6: Final answer
    x = 81.36

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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.