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Finding the Fourth Proportional to 200.10, 276.13 and 112.77

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Solution

The fourth proportional to 200.10, 276.13 and 112.77 is: 155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.10 : 276.13 = 112.77 : x
  2. Step 2: Convert to fraction form
    200.10/276.13 = 112.77/x
  3. Step 3: Cross multiply
    200.10x = 276.13 × 112.77
  4. Step 4: Simplify right side
    200.10x = 31,139.18
  5. Step 5: Solve for x
    x = 31,139.18/200.10
  6. Step 6: Final answer
    x = 155.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.