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Finding the Fourth Proportional to 324.01, 485.88 and 307.81

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Solution

The fourth proportional to 324.01, 485.88 and 307.81 is: 461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.01 : 485.88 = 307.81 : x
  2. Step 2: Convert to fraction form
    324.01/485.88 = 307.81/x
  3. Step 3: Cross multiply
    324.01x = 485.88 × 307.81
  4. Step 4: Simplify right side
    324.01x = 149,558.72
  5. Step 5: Solve for x
    x = 149,558.72/324.01
  6. Step 6: Final answer
    x = 461.59

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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.