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Finding the Fourth Proportional to 430.23, 644.32 and 342.96

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Solution

The fourth proportional to 430.23, 644.32 and 342.96 is: 513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.23 : 644.32 = 342.96 : x
  2. Step 2: Convert to fraction form
    430.23/644.32 = 342.96/x
  3. Step 3: Cross multiply
    430.23x = 644.32 × 342.96
  4. Step 4: Simplify right side
    430.23x = 220,975.99
  5. Step 5: Solve for x
    x = 220,975.99/430.23
  6. Step 6: Final answer
    x = 513.62

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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.