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Finding the Fourth Proportional to 430.19, 644.87 and 170.36

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Solution

The fourth proportional to 430.19, 644.87 and 170.36 is: 255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.19 : 644.87 = 170.36 : x
  2. Step 2: Convert to fraction form
    430.19/644.87 = 170.36/x
  3. Step 3: Cross multiply
    430.19x = 644.87 × 170.36
  4. Step 4: Simplify right side
    430.19x = 109,855.98
  5. Step 5: Solve for x
    x = 109,855.98/430.19
  6. Step 6: Final answer
    x = 255.37

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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.