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Finding the Fourth Proportional to 421.56, 581.74 and 255.74

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Solution

The fourth proportional to 421.56, 581.74 and 255.74 is: 352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.56 : 581.74 = 255.74 : x
  2. Step 2: Convert to fraction form
    421.56/581.74 = 255.74/x
  3. Step 3: Cross multiply
    421.56x = 581.74 × 255.74
  4. Step 4: Simplify right side
    421.56x = 148,774.19
  5. Step 5: Solve for x
    x = 148,774.19/421.56
  6. Step 6: Final answer
    x = 352.91

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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.