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Finding the Fourth Proportional to 322.13, 485.13 and 286.02

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Solution

The fourth proportional to 322.13, 485.13 and 286.02 is: 430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.13 : 485.13 = 286.02 : x
  2. Step 2: Convert to fraction form
    322.13/485.13 = 286.02/x
  3. Step 3: Cross multiply
    322.13x = 485.13 × 286.02
  4. Step 4: Simplify right side
    322.13x = 138,756.88
  5. Step 5: Solve for x
    x = 138,756.88/322.13
  6. Step 6: Final answer
    x = 430.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.