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Finding the Fourth Proportional to 328.76, 450.39 and 316.45

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Solution

The fourth proportional to 328.76, 450.39 and 316.45 is: 433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.76 : 450.39 = 316.45 : x
  2. Step 2: Convert to fraction form
    328.76/450.39 = 316.45/x
  3. Step 3: Cross multiply
    328.76x = 450.39 × 316.45
  4. Step 4: Simplify right side
    328.76x = 142,523.66
  5. Step 5: Solve for x
    x = 142,523.66/328.76
  6. Step 6: Final answer
    x = 433.53

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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.