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Finding the Fourth Proportional to 432.09, 647.94 and 139.50

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Solution

The fourth proportional to 432.09, 647.94 and 139.50 is: 209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.09 : 647.94 = 139.50 : x
  2. Step 2: Convert to fraction form
    432.09/647.94 = 139.50/x
  3. Step 3: Cross multiply
    432.09x = 647.94 × 139.50
  4. Step 4: Simplify right side
    432.09x = 90,387.63
  5. Step 5: Solve for x
    x = 90,387.63/432.09
  6. Step 6: Final answer
    x = 209.19

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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.