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Finding the Fourth Proportional to 646.30, 969.60 and 281.38

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Solution

The fourth proportional to 646.30, 969.60 and 281.38 is: 422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.30 : 969.60 = 281.38 : x
  2. Step 2: Convert to fraction form
    646.30/969.60 = 281.38/x
  3. Step 3: Cross multiply
    646.30x = 969.60 × 281.38
  4. Step 4: Simplify right side
    646.30x = 272,826.05
  5. Step 5: Solve for x
    x = 272,826.05/646.30
  6. Step 6: Final answer
    x = 422.14

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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.