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Finding the Fourth Proportional to 1,302.14, 1,953.06 and 328.25

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Solution

The fourth proportional to 1,302.14, 1,953.06 and 328.25 is: 492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.14 : 1,953.06 = 328.25 : x
  2. Step 2: Convert to fraction form
    1,302.14/1,953.06 = 328.25/x
  3. Step 3: Cross multiply
    1,302.14x = 1,953.06 × 328.25
  4. Step 4: Simplify right side
    1,302.14x = 641,082.18
  5. Step 5: Solve for x
    x = 641,082.18/1,302.14
  6. Step 6: Final answer
    x = 492.33

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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.