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Finding the Fourth Proportional to 137.93, 205.47 and 135.64

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Solution

The fourth proportional to 137.93, 205.47 and 135.64 is: 202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.93 : 205.47 = 135.64 : x
  2. Step 2: Convert to fraction form
    137.93/205.47 = 135.64/x
  3. Step 3: Cross multiply
    137.93x = 205.47 × 135.64
  4. Step 4: Simplify right side
    137.93x = 27,868.92
  5. Step 5: Solve for x
    x = 27,868.92/137.93
  6. Step 6: Final answer
    x = 202.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.