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Finding the Fourth Proportional to 420.57, 580.39 and 234.07

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Solution

The fourth proportional to 420.57, 580.39 and 234.07 is: 323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.57 : 580.39 = 234.07 : x
  2. Step 2: Convert to fraction form
    420.57/580.39 = 234.07/x
  3. Step 3: Cross multiply
    420.57x = 580.39 × 234.07
  4. Step 4: Simplify right side
    420.57x = 135,852.55
  5. Step 5: Solve for x
    x = 135,852.55/420.57
  6. Step 6: Final answer
    x = 323.02

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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.