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Finding the Fourth Proportional to 176.75, 243.81 and 135.26

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Solution

The fourth proportional to 176.75, 243.81 and 135.26 is: 186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.75 : 243.81 = 135.26 : x
  2. Step 2: Convert to fraction form
    176.75/243.81 = 135.26/x
  3. Step 3: Cross multiply
    176.75x = 243.81 × 135.26
  4. Step 4: Simplify right side
    176.75x = 32,977.74
  5. Step 5: Solve for x
    x = 32,977.74/176.75
  6. Step 6: Final answer
    x = 186.58

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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.