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Finding the Fourth Proportional to 201.16, 278.61 and 187.95

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Solution

The fourth proportional to 201.16, 278.61 and 187.95 is: 260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.16 : 278.61 = 187.95 : x
  2. Step 2: Convert to fraction form
    201.16/278.61 = 187.95/x
  3. Step 3: Cross multiply
    201.16x = 278.61 × 187.95
  4. Step 4: Simplify right side
    201.16x = 52,364.32
  5. Step 5: Solve for x
    x = 52,364.32/201.16
  6. Step 6: Final answer
    x = 260.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.