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Finding the Fourth Proportional to 646.61, 969.96 and 201.81

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Solution

The fourth proportional to 646.61, 969.96 and 201.81 is: 302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.61 : 969.96 = 201.81 : x
  2. Step 2: Convert to fraction form
    646.61/969.96 = 201.81/x
  3. Step 3: Cross multiply
    646.61x = 969.96 × 201.81
  4. Step 4: Simplify right side
    646.61x = 195,747.63
  5. Step 5: Solve for x
    x = 195,747.63/646.61
  6. Step 6: Final answer
    x = 302.73

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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.