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Finding the Fourth Proportional to 289.19, 433.50 and 106.46

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Solution

The fourth proportional to 289.19, 433.50 and 106.46 is: 159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.19 : 433.50 = 106.46 : x
  2. Step 2: Convert to fraction form
    289.19/433.50 = 106.46/x
  3. Step 3: Cross multiply
    289.19x = 433.50 × 106.46
  4. Step 4: Simplify right side
    289.19x = 46,149.47
  5. Step 5: Solve for x
    x = 46,149.47/289.19
  6. Step 6: Final answer
    x = 159.58

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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.