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Finding the Fourth Proportional to 174.96, 240.84 and 153.80

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Solution

The fourth proportional to 174.96, 240.84 and 153.80 is: 211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.96 : 240.84 = 153.80 : x
  2. Step 2: Convert to fraction form
    174.96/240.84 = 153.80/x
  3. Step 3: Cross multiply
    174.96x = 240.84 × 153.80
  4. Step 4: Simplify right side
    174.96x = 37,041.19
  5. Step 5: Solve for x
    x = 37,041.19/174.96
  6. Step 6: Final answer
    x = 211.71

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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.