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Finding the Fourth Proportional to 423.55, 584.01 and 311.01

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Solution

The fourth proportional to 423.55, 584.01 and 311.01 is: 428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.55 : 584.01 = 311.01 : x
  2. Step 2: Convert to fraction form
    423.55/584.01 = 311.01/x
  3. Step 3: Cross multiply
    423.55x = 584.01 × 311.01
  4. Step 4: Simplify right side
    423.55x = 181,632.95
  5. Step 5: Solve for x
    x = 181,632.95/423.55
  6. Step 6: Final answer
    x = 428.83

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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.