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Finding the Fourth Proportional to 430.06, 644.71 and 224.42

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Solution

The fourth proportional to 430.06, 644.71 and 224.42 is: 336.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.06 : 644.71 = 224.42 : x
  2. Step 2: Convert to fraction form
    430.06/644.71 = 224.42/x
  3. Step 3: Cross multiply
    430.06x = 644.71 × 224.42
  4. Step 4: Simplify right side
    430.06x = 144,686.08
  5. Step 5: Solve for x
    x = 144,686.08/430.06
  6. Step 6: Final answer
    x = 336.43

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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.