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Finding the Fourth Proportional to 421.92, 630.09 and 340.56

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Solution

The fourth proportional to 421.92, 630.09 and 340.56 is: 508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.92 : 630.09 = 340.56 : x
  2. Step 2: Convert to fraction form
    421.92/630.09 = 340.56/x
  3. Step 3: Cross multiply
    421.92x = 630.09 × 340.56
  4. Step 4: Simplify right side
    421.92x = 214,583.45
  5. Step 5: Solve for x
    x = 214,583.45/421.92
  6. Step 6: Final answer
    x = 508.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.