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Finding the Fourth Proportional to 969.32, 1,453.96 and 238.90

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Solution

The fourth proportional to 969.32, 1,453.96 and 238.90 is: 358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.32 : 1,453.96 = 238.90 : x
  2. Step 2: Convert to fraction form
    969.32/1,453.96 = 238.90/x
  3. Step 3: Cross multiply
    969.32x = 1,453.96 × 238.90
  4. Step 4: Simplify right side
    969.32x = 347,342.58
  5. Step 5: Solve for x
    x = 347,342.58/969.32
  6. Step 6: Final answer
    x = 358.34

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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.