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Finding the Fourth Proportional to 202.01, 278.78 and 114.66

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Solution

The fourth proportional to 202.01, 278.78 and 114.66 is: 158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.01 : 278.78 = 114.66 : x
  2. Step 2: Convert to fraction form
    202.01/278.78 = 114.66/x
  3. Step 3: Cross multiply
    202.01x = 278.78 × 114.66
  4. Step 4: Simplify right side
    202.01x = 31,964.34
  5. Step 5: Solve for x
    x = 31,964.34/202.01
  6. Step 6: Final answer
    x = 158.24

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