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Finding the Fourth Proportional to 328.10, 451.60 and 272.21

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Solution

The fourth proportional to 328.10, 451.60 and 272.21 is: 374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.10 : 451.60 = 272.21 : x
  2. Step 2: Convert to fraction form
    328.10/451.60 = 272.21/x
  3. Step 3: Cross multiply
    328.10x = 451.60 × 272.21
  4. Step 4: Simplify right side
    328.10x = 122,927.78
  5. Step 5: Solve for x
    x = 122,927.78/328.10
  6. Step 6: Final answer
    x = 374.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.