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Finding the Fourth Proportional to 135.21, 185.73 and 116.53

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Solution

The fourth proportional to 135.21, 185.73 and 116.53 is: 160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.21 : 185.73 = 116.53 : x
  2. Step 2: Convert to fraction form
    135.21/185.73 = 116.53/x
  3. Step 3: Cross multiply
    135.21x = 185.73 × 116.53
  4. Step 4: Simplify right side
    135.21x = 21,643.12
  5. Step 5: Solve for x
    x = 21,643.12/135.21
  6. Step 6: Final answer
    x = 160.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.