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Finding the Fourth Proportional to 421.52, 581.50 and 323.10

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Solution

The fourth proportional to 421.52, 581.50 and 323.10 is: 445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.52 : 581.50 = 323.10 : x
  2. Step 2: Convert to fraction form
    421.52/581.50 = 323.10/x
  3. Step 3: Cross multiply
    421.52x = 581.50 × 323.10
  4. Step 4: Simplify right side
    421.52x = 187,882.65
  5. Step 5: Solve for x
    x = 187,882.65/421.52
  6. Step 6: Final answer
    x = 445.73

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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.