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Finding the Fourth Proportional to 328.72, 453.48 and 270.16

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Solution

The fourth proportional to 328.72, 453.48 and 270.16 is: 372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.72 : 453.48 = 270.16 : x
  2. Step 2: Convert to fraction form
    328.72/453.48 = 270.16/x
  3. Step 3: Cross multiply
    328.72x = 453.48 × 270.16
  4. Step 4: Simplify right side
    328.72x = 122,512.16
  5. Step 5: Solve for x
    x = 122,512.16/328.72
  6. Step 6: Final answer
    x = 372.69

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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.