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Finding the Fourth Proportional to 421.09, 580.48 and 296.35

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Solution

The fourth proportional to 421.09, 580.48 and 296.35 is: 408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.09 : 580.48 = 296.35 : x
  2. Step 2: Convert to fraction form
    421.09/580.48 = 296.35/x
  3. Step 3: Cross multiply
    421.09x = 580.48 × 296.35
  4. Step 4: Simplify right side
    421.09x = 172,025.25
  5. Step 5: Solve for x
    x = 172,025.25/421.09
  6. Step 6: Final answer
    x = 408.52

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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.