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Finding the Fourth Proportional to 950.94, 1,426.41 and 302.13

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Solution

The fourth proportional to 950.94, 1,426.41 and 302.13 is: 453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.94 : 1,426.41 = 302.13 : x
  2. Step 2: Convert to fraction form
    950.94/1,426.41 = 302.13/x
  3. Step 3: Cross multiply
    950.94x = 1,426.41 × 302.13
  4. Step 4: Simplify right side
    950.94x = 430,961.25
  5. Step 5: Solve for x
    x = 430,961.25/950.94
  6. Step 6: Final answer
    x = 453.20

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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.