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Finding the Fourth Proportional to 1,302.26, 1,953.32 and 328.34

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Solution

The fourth proportional to 1,302.26, 1,953.32 and 328.34 is: 492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.26 : 1,953.32 = 328.34 : x
  2. Step 2: Convert to fraction form
    1,302.26/1,953.32 = 328.34/x
  3. Step 3: Cross multiply
    1,302.26x = 1,953.32 × 328.34
  4. Step 4: Simplify right side
    1,302.26x = 641,353.09
  5. Step 5: Solve for x
    x = 641,353.09/1,302.26
  6. Step 6: Final answer
    x = 492.49

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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.