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Finding the Fourth Proportional to 174.33, 240.58 and 100.65

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Solution

The fourth proportional to 174.33, 240.58 and 100.65 is: 138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.33 : 240.58 = 100.65 : x
  2. Step 2: Convert to fraction form
    174.33/240.58 = 100.65/x
  3. Step 3: Cross multiply
    174.33x = 240.58 × 100.65
  4. Step 4: Simplify right side
    174.33x = 24,212.67
  5. Step 5: Solve for x
    x = 24,212.67/174.33
  6. Step 6: Final answer
    x = 138.89

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