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Finding the Fourth Proportional to 421.61, 581.82 and 255.79

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Solution

The fourth proportional to 421.61, 581.82 and 255.79 is: 352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.61 : 581.82 = 255.79 : x
  2. Step 2: Convert to fraction form
    421.61/581.82 = 255.79/x
  3. Step 3: Cross multiply
    421.61x = 581.82 × 255.79
  4. Step 4: Simplify right side
    421.61x = 148,823.74
  5. Step 5: Solve for x
    x = 148,823.74/421.61
  6. Step 6: Final answer
    x = 352.99

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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.