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Finding the Fourth Proportional to 328.92, 492.84 and 308.67

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Solution

The fourth proportional to 328.92, 492.84 and 308.67 is: 462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.92 : 492.84 = 308.67 : x
  2. Step 2: Convert to fraction form
    328.92/492.84 = 308.67/x
  3. Step 3: Cross multiply
    328.92x = 492.84 × 308.67
  4. Step 4: Simplify right side
    328.92x = 152,124.92
  5. Step 5: Solve for x
    x = 152,124.92/328.92
  6. Step 6: Final answer
    x = 462.50

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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.