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Finding the Fourth Proportional to 202.03, 278.82 and 139.86

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Solution

The fourth proportional to 202.03, 278.82 and 139.86 is: 193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.03 : 278.82 = 139.86 : x
  2. Step 2: Convert to fraction form
    202.03/278.82 = 139.86/x
  3. Step 3: Cross multiply
    202.03x = 278.82 × 139.86
  4. Step 4: Simplify right side
    202.03x = 38,995.77
  5. Step 5: Solve for x
    x = 38,995.77/202.03
  6. Step 6: Final answer
    x = 193.02

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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.