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Finding the Fourth Proportional to 200.24, 274.84 and 177.92

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Solution

The fourth proportional to 200.24, 274.84 and 177.92 is: 244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.24 : 274.84 = 177.92 : x
  2. Step 2: Convert to fraction form
    200.24/274.84 = 177.92/x
  3. Step 3: Cross multiply
    200.24x = 274.84 × 177.92
  4. Step 4: Simplify right side
    200.24x = 48,899.53
  5. Step 5: Solve for x
    x = 48,899.53/200.24
  6. Step 6: Final answer
    x = 244.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.