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Finding the Fourth Proportional to 430.24, 644.08 and 333.60

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Solution

The fourth proportional to 430.24, 644.08 and 333.60 is: 499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.24 : 644.08 = 333.60 : x
  2. Step 2: Convert to fraction form
    430.24/644.08 = 333.60/x
  3. Step 3: Cross multiply
    430.24x = 644.08 × 333.60
  4. Step 4: Simplify right side
    430.24x = 214,865.09
  5. Step 5: Solve for x
    x = 214,865.09/430.24
  6. Step 6: Final answer
    x = 499.41

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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.