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Finding the Fourth Proportional to 174.95, 241.47 and 109.42

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Solution

The fourth proportional to 174.95, 241.47 and 109.42 is: 151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.95 : 241.47 = 109.42 : x
  2. Step 2: Convert to fraction form
    174.95/241.47 = 109.42/x
  3. Step 3: Cross multiply
    174.95x = 241.47 × 109.42
  4. Step 4: Simplify right side
    174.95x = 26,421.65
  5. Step 5: Solve for x
    x = 26,421.65/174.95
  6. Step 6: Final answer
    x = 151.02

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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.