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Finding the Fourth Proportional to 430.42, 644.53 and 344.74

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Solution

The fourth proportional to 430.42, 644.53 and 344.74 is: 516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.42 : 644.53 = 344.74 : x
  2. Step 2: Convert to fraction form
    430.42/644.53 = 344.74/x
  3. Step 3: Cross multiply
    430.42x = 644.53 × 344.74
  4. Step 4: Simplify right side
    430.42x = 222,195.27
  5. Step 5: Solve for x
    x = 222,195.27/430.42
  6. Step 6: Final answer
    x = 516.23

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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.