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Finding the Fourth Proportional to 324.12, 484.35 and 311.16

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Solution

The fourth proportional to 324.12, 484.35 and 311.16 is: 464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.12 : 484.35 = 311.16 : x
  2. Step 2: Convert to fraction form
    324.12/484.35 = 311.16/x
  3. Step 3: Cross multiply
    324.12x = 484.35 × 311.16
  4. Step 4: Simplify right side
    324.12x = 150,710.35
  5. Step 5: Solve for x
    x = 150,710.35/324.12
  6. Step 6: Final answer
    x = 464.98

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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.