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Finding the Fourth Proportional to 328.19, 492.61 and 308.38

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Solution

The fourth proportional to 328.19, 492.61 and 308.38 is: 462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.19 : 492.61 = 308.38 : x
  2. Step 2: Convert to fraction form
    328.19/492.61 = 308.38/x
  3. Step 3: Cross multiply
    328.19x = 492.61 × 308.38
  4. Step 4: Simplify right side
    328.19x = 151,911.07
  5. Step 5: Solve for x
    x = 151,911.07/328.19
  6. Step 6: Final answer
    x = 462.88

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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.