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Finding the Fourth Proportional to 149.51, 205.18 and 135.65

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Solution

The fourth proportional to 149.51, 205.18 and 135.65 is: 186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.51 : 205.18 = 135.65 : x
  2. Step 2: Convert to fraction form
    149.51/205.18 = 135.65/x
  3. Step 3: Cross multiply
    149.51x = 205.18 × 135.65
  4. Step 4: Simplify right side
    149.51x = 27,832.67
  5. Step 5: Solve for x
    x = 27,832.67/149.51
  6. Step 6: Final answer
    x = 186.16

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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.