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Finding the Fourth Proportional to 200.16, 276.12 and 130.11

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Solution

The fourth proportional to 200.16, 276.12 and 130.11 is: 179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.16 : 276.12 = 130.11 : x
  2. Step 2: Convert to fraction form
    200.16/276.12 = 130.11/x
  3. Step 3: Cross multiply
    200.16x = 276.12 × 130.11
  4. Step 4: Simplify right side
    200.16x = 35,925.97
  5. Step 5: Solve for x
    x = 35,925.97/200.16
  6. Step 6: Final answer
    x = 179.49

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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.