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Finding the Fourth Proportional to 324.93, 485.03 and 286.01

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Solution

The fourth proportional to 324.93, 485.03 and 286.01 is: 426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.93 : 485.03 = 286.01 : x
  2. Step 2: Convert to fraction form
    324.93/485.03 = 286.01/x
  3. Step 3: Cross multiply
    324.93x = 485.03 × 286.01
  4. Step 4: Simplify right side
    324.93x = 138,719.58
  5. Step 5: Solve for x
    x = 138,719.58/324.93
  6. Step 6: Final answer
    x = 426.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.