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Finding the Fourth Proportional to 328.07, 454.67 and 321.93

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Solution

The fourth proportional to 328.07, 454.67 and 321.93 is: 446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.07 : 454.67 = 321.93 : x
  2. Step 2: Convert to fraction form
    328.07/454.67 = 321.93/x
  3. Step 3: Cross multiply
    328.07x = 454.67 × 321.93
  4. Step 4: Simplify right side
    328.07x = 146,371.91
  5. Step 5: Solve for x
    x = 146,371.91/328.07
  6. Step 6: Final answer
    x = 446.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.