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Finding the Fourth Proportional to 289.50, 433.98 and 106.85

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Solution

The fourth proportional to 289.50, 433.98 and 106.85 is: 160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.50 : 433.98 = 106.85 : x
  2. Step 2: Convert to fraction form
    289.50/433.98 = 106.85/x
  3. Step 3: Cross multiply
    289.50x = 433.98 × 106.85
  4. Step 4: Simplify right side
    289.50x = 46,368.59
  5. Step 5: Solve for x
    x = 46,368.59/289.50
  6. Step 6: Final answer
    x = 160.17

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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.