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Finding the Fourth Proportional to 434.40, 650.88 and 342.60

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Solution

The fourth proportional to 434.40, 650.88 and 342.60 is: 513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.40 : 650.88 = 342.60 : x
  2. Step 2: Convert to fraction form
    434.40/650.88 = 342.60/x
  3. Step 3: Cross multiply
    434.40x = 650.88 × 342.60
  4. Step 4: Simplify right side
    434.40x = 222,991.49
  5. Step 5: Solve for x
    x = 222,991.49/434.40
  6. Step 6: Final answer
    x = 513.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.