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Finding the Fourth Proportional to 328.36, 451.16 and 314.04

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Solution

The fourth proportional to 328.36, 451.16 and 314.04 is: 431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.36 : 451.16 = 314.04 : x
  2. Step 2: Convert to fraction form
    328.36/451.16 = 314.04/x
  3. Step 3: Cross multiply
    328.36x = 451.16 × 314.04
  4. Step 4: Simplify right side
    328.36x = 141,682.29
  5. Step 5: Solve for x
    x = 141,682.29/328.36
  6. Step 6: Final answer
    x = 431.48

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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.