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Finding the Fourth Proportional to 328, 492.48 and 316.36

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Solution

The fourth proportional to 328, 492.48 and 316.36 is: 475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    328 : 492.48 = 316.36 : x
  2. Step 2: Convert to fraction form
    328/492.48 = 316.36/x
  3. Step 3: Cross multiply
    328x = 492.48 × 316.36
  4. Step 4: Simplify right side
    328x = 155,800.97
  5. Step 5: Solve for x
    x = 155,800.97/328
  6. Step 6: Final answer
    x = 475.00

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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.