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Finding the Fourth Proportional to 289.49, 434.24 and 73.07

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Solution

The fourth proportional to 289.49, 434.24 and 73.07 is: 109.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.49 : 434.24 = 73.07 : x
  2. Step 2: Convert to fraction form
    289.49/434.24 = 73.07/x
  3. Step 3: Cross multiply
    289.49x = 434.24 × 73.07
  4. Step 4: Simplify right side
    289.49x = 31,729.92
  5. Step 5: Solve for x
    x = 31,729.92/289.49
  6. Step 6: Final answer
    x = 109.61

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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.