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Finding the Fourth Proportional to 432.86, 650.32 and 279.09

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Solution

The fourth proportional to 432.86, 650.32 and 279.09 is: 419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.86 : 650.32 = 279.09 : x
  2. Step 2: Convert to fraction form
    432.86/650.32 = 279.09/x
  3. Step 3: Cross multiply
    432.86x = 650.32 × 279.09
  4. Step 4: Simplify right side
    432.86x = 181,497.81
  5. Step 5: Solve for x
    x = 181,497.81/432.86
  6. Step 6: Final answer
    x = 419.30

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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.