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Finding the Fourth Proportional to 1,301.42, 1,952.10 and 327.49

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Solution

The fourth proportional to 1,301.42, 1,952.10 and 327.49 is: 491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.42 : 1,952.10 = 327.49 : x
  2. Step 2: Convert to fraction form
    1,301.42/1,952.10 = 327.49/x
  3. Step 3: Cross multiply
    1,301.42x = 1,952.10 × 327.49
  4. Step 4: Simplify right side
    1,301.42x = 639,299.33
  5. Step 5: Solve for x
    x = 639,299.33/1,301.42
  6. Step 6: Final answer
    x = 491.23

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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.