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Finding the Fourth Proportional to 200.38, 276.14 and 145.02

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Solution

The fourth proportional to 200.38, 276.14 and 145.02 is: 199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.38 : 276.14 = 145.02 : x
  2. Step 2: Convert to fraction form
    200.38/276.14 = 145.02/x
  3. Step 3: Cross multiply
    200.38x = 276.14 × 145.02
  4. Step 4: Simplify right side
    200.38x = 40,045.82
  5. Step 5: Solve for x
    x = 40,045.82/200.38
  6. Step 6: Final answer
    x = 199.85

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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.