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Finding the Fourth Proportional to 328.17, 451.52 and 320.07

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Solution

The fourth proportional to 328.17, 451.52 and 320.07 is: 440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.17 : 451.52 = 320.07 : x
  2. Step 2: Convert to fraction form
    328.17/451.52 = 320.07/x
  3. Step 3: Cross multiply
    328.17x = 451.52 × 320.07
  4. Step 4: Simplify right side
    328.17x = 144,514.15
  5. Step 5: Solve for x
    x = 144,514.15/328.17
  6. Step 6: Final answer
    x = 440.37

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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.