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Finding the Fourth Proportional to 145.19, 200.24 and 105.85

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Solution

The fourth proportional to 145.19, 200.24 and 105.85 is: 145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.19 : 200.24 = 105.85 : x
  2. Step 2: Convert to fraction form
    145.19/200.24 = 105.85/x
  3. Step 3: Cross multiply
    145.19x = 200.24 × 105.85
  4. Step 4: Simplify right side
    145.19x = 21,195.40
  5. Step 5: Solve for x
    x = 21,195.40/145.19
  6. Step 6: Final answer
    x = 145.98

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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.