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Finding the Fourth Proportional to 202.95, 280.01 and 118.89

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Solution

The fourth proportional to 202.95, 280.01 and 118.89 is: 164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.95 : 280.01 = 118.89 : x
  2. Step 2: Convert to fraction form
    202.95/280.01 = 118.89/x
  3. Step 3: Cross multiply
    202.95x = 280.01 × 118.89
  4. Step 4: Simplify right side
    202.95x = 33,289.79
  5. Step 5: Solve for x
    x = 33,289.79/202.95
  6. Step 6: Final answer
    x = 164.03

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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.