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Finding the Fourth Proportional to 328.92, 450.61 and 316.59

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Solution

The fourth proportional to 328.92, 450.61 and 316.59 is: 433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.92 : 450.61 = 316.59 : x
  2. Step 2: Convert to fraction form
    328.92/450.61 = 316.59/x
  3. Step 3: Cross multiply
    328.92x = 450.61 × 316.59
  4. Step 4: Simplify right side
    328.92x = 142,658.62
  5. Step 5: Solve for x
    x = 142,658.62/328.92
  6. Step 6: Final answer
    x = 433.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.