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Finding the Fourth Proportional to 200.89, 300.81 and 162.16

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Solution

The fourth proportional to 200.89, 300.81 and 162.16 is: 242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.89 : 300.81 = 162.16 : x
  2. Step 2: Convert to fraction form
    200.89/300.81 = 162.16/x
  3. Step 3: Cross multiply
    200.89x = 300.81 × 162.16
  4. Step 4: Simplify right side
    200.89x = 48,779.35
  5. Step 5: Solve for x
    x = 48,779.35/200.89
  6. Step 6: Final answer
    x = 242.82

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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.