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Finding the Fourth Proportional to 430.05, 644.46 and 198.36

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Solution

The fourth proportional to 430.05, 644.46 and 198.36 is: 297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.05 : 644.46 = 198.36 : x
  2. Step 2: Convert to fraction form
    430.05/644.46 = 198.36/x
  3. Step 3: Cross multiply
    430.05x = 644.46 × 198.36
  4. Step 4: Simplify right side
    430.05x = 127,835.09
  5. Step 5: Solve for x
    x = 127,835.09/430.05
  6. Step 6: Final answer
    x = 297.26

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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.