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Finding the Fourth Proportional to 150.10, 206.94 and 105.78

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Solution

The fourth proportional to 150.10, 206.94 and 105.78 is: 145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.10 : 206.94 = 105.78 : x
  2. Step 2: Convert to fraction form
    150.10/206.94 = 105.78/x
  3. Step 3: Cross multiply
    150.10x = 206.94 × 105.78
  4. Step 4: Simplify right side
    150.10x = 21,890.11
  5. Step 5: Solve for x
    x = 21,890.11/150.10
  6. Step 6: Final answer
    x = 145.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.