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Finding the Fourth Proportional to 421, 581.04 and 255.28

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Solution

The fourth proportional to 421, 581.04 and 255.28 is: 352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421 : 581.04 = 255.28 : x
  2. Step 2: Convert to fraction form
    421/581.04 = 255.28/x
  3. Step 3: Cross multiply
    421x = 581.04 × 255.28
  4. Step 4: Simplify right side
    421x = 148,323.71
  5. Step 5: Solve for x
    x = 148,323.71/421
  6. Step 6: Final answer
    x = 352.31

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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.