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Finding the Fourth Proportional to 430.44, 644.60 and 224.44

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Solution

The fourth proportional to 430.44, 644.60 and 224.44 is: 336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.44 : 644.60 = 224.44 : x
  2. Step 2: Convert to fraction form
    430.44/644.60 = 224.44/x
  3. Step 3: Cross multiply
    430.44x = 644.60 × 224.44
  4. Step 4: Simplify right side
    430.44x = 144,674.02
  5. Step 5: Solve for x
    x = 144,674.02/430.44
  6. Step 6: Final answer
    x = 336.11

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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.