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Finding the Fourth Proportional to 202.89, 304.00 and 154.07

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Solution

The fourth proportional to 202.89, 304.00 and 154.07 is: 230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.89 : 304.00 = 154.07 : x
  2. Step 2: Convert to fraction form
    202.89/304.00 = 154.07/x
  3. Step 3: Cross multiply
    202.89x = 304.00 × 154.07
  4. Step 4: Simplify right side
    202.89x = 46,837.38
  5. Step 5: Solve for x
    x = 46,837.38/202.89
  6. Step 6: Final answer
    x = 230.85

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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.