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Finding the Fourth Proportional to 421.83, 581.96 and 256.09

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Solution

The fourth proportional to 421.83, 581.96 and 256.09 is: 353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.83 : 581.96 = 256.09 : x
  2. Step 2: Convert to fraction form
    421.83/581.96 = 256.09/x
  3. Step 3: Cross multiply
    421.83x = 581.96 × 256.09
  4. Step 4: Simplify right side
    421.83x = 149,034.14
  5. Step 5: Solve for x
    x = 149,034.14/421.83
  6. Step 6: Final answer
    x = 353.30

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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.