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Finding the Fourth Proportional to 202.72, 304.13 and 111.37

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Solution

The fourth proportional to 202.72, 304.13 and 111.37 is: 167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.72 : 304.13 = 111.37 : x
  2. Step 2: Convert to fraction form
    202.72/304.13 = 111.37/x
  3. Step 3: Cross multiply
    202.72x = 304.13 × 111.37
  4. Step 4: Simplify right side
    202.72x = 33,870.40
  5. Step 5: Solve for x
    x = 33,870.40/202.72
  6. Step 6: Final answer
    x = 167.08

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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.