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Finding the Fourth Proportional to 421.77, 582.03 and 255.87

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Solution

The fourth proportional to 421.77, 582.03 and 255.87 is: 353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.77 : 582.03 = 255.87 : x
  2. Step 2: Convert to fraction form
    421.77/582.03 = 255.87/x
  3. Step 3: Cross multiply
    421.77x = 582.03 × 255.87
  4. Step 4: Simplify right side
    421.77x = 148,924.02
  5. Step 5: Solve for x
    x = 148,924.02/421.77
  6. Step 6: Final answer
    x = 353.09

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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.