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Finding the Fourth Proportional to 175.14, 241.72 and 109.70

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Solution

The fourth proportional to 175.14, 241.72 and 109.70 is: 151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.14 : 241.72 = 109.70 : x
  2. Step 2: Convert to fraction form
    175.14/241.72 = 109.70/x
  3. Step 3: Cross multiply
    175.14x = 241.72 × 109.70
  4. Step 4: Simplify right side
    175.14x = 26,516.68
  5. Step 5: Solve for x
    x = 26,516.68/175.14
  6. Step 6: Final answer
    x = 151.40

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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.