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Finding the Fourth Proportional to 289.63, 434.37 and 84.15

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Solution

The fourth proportional to 289.63, 434.37 and 84.15 is: 126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.63 : 434.37 = 84.15 : x
  2. Step 2: Convert to fraction form
    289.63/434.37 = 84.15/x
  3. Step 3: Cross multiply
    289.63x = 434.37 × 84.15
  4. Step 4: Simplify right side
    289.63x = 36,552.24
  5. Step 5: Solve for x
    x = 36,552.24/289.63
  6. Step 6: Final answer
    x = 126.21

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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.