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Finding the Fourth Proportional to 321.14, 478.04 and 306.23

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Solution

The fourth proportional to 321.14, 478.04 and 306.23 is: 455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.14 : 478.04 = 306.23 : x
  2. Step 2: Convert to fraction form
    321.14/478.04 = 306.23/x
  3. Step 3: Cross multiply
    321.14x = 478.04 × 306.23
  4. Step 4: Simplify right side
    321.14x = 146,386.27
  5. Step 5: Solve for x
    x = 146,386.27/321.14
  6. Step 6: Final answer
    x = 455.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.