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Finding the Fourth Proportional to 201.29, 277.68 and 146.00

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Solution

The fourth proportional to 201.29, 277.68 and 146.00 is: 201.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.29 : 277.68 = 146.00 : x
  2. Step 2: Convert to fraction form
    201.29/277.68 = 146.00/x
  3. Step 3: Cross multiply
    201.29x = 277.68 × 146.00
  4. Step 4: Simplify right side
    201.29x = 40,541.70
  5. Step 5: Solve for x
    x = 40,541.70/201.29
  6. Step 6: Final answer
    x = 201.41

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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.