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Finding the Fourth Proportional to 202.18, 278.71 and 139.91

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Solution

The fourth proportional to 202.18, 278.71 and 139.91 is: 192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.18 : 278.71 = 139.91 : x
  2. Step 2: Convert to fraction form
    202.18/278.71 = 139.91/x
  3. Step 3: Cross multiply
    202.18x = 278.71 × 139.91
  4. Step 4: Simplify right side
    202.18x = 38,992.22
  5. Step 5: Solve for x
    x = 38,992.22/202.18
  6. Step 6: Final answer
    x = 192.86

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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.