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Finding the Fourth Proportional to 202.93, 304.54 and 137.77

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Solution

The fourth proportional to 202.93, 304.54 and 137.77 is: 206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.93 : 304.54 = 137.77 : x
  2. Step 2: Convert to fraction form
    202.93/304.54 = 137.77/x
  3. Step 3: Cross multiply
    202.93x = 304.54 × 137.77
  4. Step 4: Simplify right side
    202.93x = 41,957.62
  5. Step 5: Solve for x
    x = 41,957.62/202.93
  6. Step 6: Final answer
    x = 206.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.