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Finding the Fourth Proportional to 201.08, 278.10 and 160.04

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Solution

The fourth proportional to 201.08, 278.10 and 160.04 is: 221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.08 : 278.10 = 160.04 : x
  2. Step 2: Convert to fraction form
    201.08/278.10 = 160.04/x
  3. Step 3: Cross multiply
    201.08x = 278.10 × 160.04
  4. Step 4: Simplify right side
    201.08x = 44,507.12
  5. Step 5: Solve for x
    x = 44,507.12/201.08
  6. Step 6: Final answer
    x = 221.34

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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.