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Finding the Fourth Proportional to 202.00, 278.76 and 112.28

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Solution

The fourth proportional to 202.00, 278.76 and 112.28 is: 154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.00 : 278.76 = 112.28 : x
  2. Step 2: Convert to fraction form
    202.00/278.76 = 112.28/x
  3. Step 3: Cross multiply
    202.00x = 278.76 × 112.28
  4. Step 4: Simplify right side
    202.00x = 31,297.78
  5. Step 5: Solve for x
    x = 31,297.78/202.00
  6. Step 6: Final answer
    x = 154.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.