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Finding the Fourth Proportional to 200.92, 299.32 and 188.50

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Solution

The fourth proportional to 200.92, 299.32 and 188.50 is: 280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.92 : 299.32 = 188.50 : x
  2. Step 2: Convert to fraction form
    200.92/299.32 = 188.50/x
  3. Step 3: Cross multiply
    200.92x = 299.32 × 188.50
  4. Step 4: Simplify right side
    200.92x = 56,421.82
  5. Step 5: Solve for x
    x = 56,421.82/200.92
  6. Step 6: Final answer
    x = 280.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.