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Finding the Fourth Proportional to 311.63, 430.15 and 201.11

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Solution

The fourth proportional to 311.63, 430.15 and 201.11 is: 277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.63 : 430.15 = 201.11 : x
  2. Step 2: Convert to fraction form
    311.63/430.15 = 201.11/x
  3. Step 3: Cross multiply
    311.63x = 430.15 × 201.11
  4. Step 4: Simplify right side
    311.63x = 86,507.47
  5. Step 5: Solve for x
    x = 86,507.47/311.63
  6. Step 6: Final answer
    x = 277.60

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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.