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Finding the Fourth Proportional to 434.00, 650.03 and 310.37

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Solution

The fourth proportional to 434.00, 650.03 and 310.37 is: 464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.00 : 650.03 = 310.37 : x
  2. Step 2: Convert to fraction form
    434.00/650.03 = 310.37/x
  3. Step 3: Cross multiply
    434.00x = 650.03 × 310.37
  4. Step 4: Simplify right side
    434.00x = 201,752.21
  5. Step 5: Solve for x
    x = 201,752.21/434.00
  6. Step 6: Final answer
    x = 464.86

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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.