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Finding the Fourth Proportional to 202, 278.61 and 160.54

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Solution

The fourth proportional to 202, 278.61 and 160.54 is: 221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202 : 278.61 = 160.54 : x
  2. Step 2: Convert to fraction form
    202/278.61 = 160.54/x
  3. Step 3: Cross multiply
    202x = 278.61 × 160.54
  4. Step 4: Simplify right side
    202x = 44,728.05
  5. Step 5: Solve for x
    x = 44,728.05/202
  6. Step 6: Final answer
    x = 221.43

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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.