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Finding the Fourth Proportional to 324.16, 486.32 and 270.40

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Solution

The fourth proportional to 324.16, 486.32 and 270.40 is: 405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.16 : 486.32 = 270.40 : x
  2. Step 2: Convert to fraction form
    324.16/486.32 = 270.40/x
  3. Step 3: Cross multiply
    324.16x = 486.32 × 270.40
  4. Step 4: Simplify right side
    324.16x = 131,500.93
  5. Step 5: Solve for x
    x = 131,500.93/324.16
  6. Step 6: Final answer
    x = 405.67

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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.