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Finding the Fourth Proportional to 324.27, 483.57 and 306.72

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Solution

The fourth proportional to 324.27, 483.57 and 306.72 is: 457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.27 : 483.57 = 306.72 : x
  2. Step 2: Convert to fraction form
    324.27/483.57 = 306.72/x
  3. Step 3: Cross multiply
    324.27x = 483.57 × 306.72
  4. Step 4: Simplify right side
    324.27x = 148,320.59
  5. Step 5: Solve for x
    x = 148,320.59/324.27
  6. Step 6: Final answer
    x = 457.40

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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.