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Finding the Fourth Proportional to 200.65, 300.92 and 72.40

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Solution

The fourth proportional to 200.65, 300.92 and 72.40 is: 108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.65 : 300.92 = 72.40 : x
  2. Step 2: Convert to fraction form
    200.65/300.92 = 72.40/x
  3. Step 3: Cross multiply
    200.65x = 300.92 × 72.40
  4. Step 4: Simplify right side
    200.65x = 21,786.04
  5. Step 5: Solve for x
    x = 21,786.04/200.65
  6. Step 6: Final answer
    x = 108.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.