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Finding the Fourth Proportional to 432.26, 645.90 and 294.15

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Solution

The fourth proportional to 432.26, 645.90 and 294.15 is: 439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.26 : 645.90 = 294.15 : x
  2. Step 2: Convert to fraction form
    432.26/645.90 = 294.15/x
  3. Step 3: Cross multiply
    432.26x = 645.90 × 294.15
  4. Step 4: Simplify right side
    432.26x = 189,991.49
  5. Step 5: Solve for x
    x = 189,991.49/432.26
  6. Step 6: Final answer
    x = 439.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.