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Finding the Fourth Proportional to 289.57, 434.40 and 84.11

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Solution

The fourth proportional to 289.57, 434.40 and 84.11 is: 126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.57 : 434.40 = 84.11 : x
  2. Step 2: Convert to fraction form
    289.57/434.40 = 84.11/x
  3. Step 3: Cross multiply
    289.57x = 434.40 × 84.11
  4. Step 4: Simplify right side
    289.57x = 36,538.52
  5. Step 5: Solve for x
    x = 36,538.52/289.57
  6. Step 6: Final answer
    x = 126.18

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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.