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Finding the Fourth Proportional to 201.18, 277.71 and 127.50

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Solution

The fourth proportional to 201.18, 277.71 and 127.50 is: 176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.18 : 277.71 = 127.50 : x
  2. Step 2: Convert to fraction form
    201.18/277.71 = 127.50/x
  3. Step 3: Cross multiply
    201.18x = 277.71 × 127.50
  4. Step 4: Simplify right side
    201.18x = 35,408.03
  5. Step 5: Solve for x
    x = 35,408.03/201.18
  6. Step 6: Final answer
    x = 176.00

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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.