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Finding the Fourth Proportional to 423.24, 583.77 and 255.08

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Solution

The fourth proportional to 423.24, 583.77 and 255.08 is: 351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.24 : 583.77 = 255.08 : x
  2. Step 2: Convert to fraction form
    423.24/583.77 = 255.08/x
  3. Step 3: Cross multiply
    423.24x = 583.77 × 255.08
  4. Step 4: Simplify right side
    423.24x = 148,908.05
  5. Step 5: Solve for x
    x = 148,908.05/423.24
  6. Step 6: Final answer
    x = 351.83

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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.