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Finding the Fourth Proportional to 314.10, 436.37 and 311.10

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Solution

The fourth proportional to 314.10, 436.37 and 311.10 is: 432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.10 : 436.37 = 311.10 : x
  2. Step 2: Convert to fraction form
    314.10/436.37 = 311.10/x
  3. Step 3: Cross multiply
    314.10x = 436.37 × 311.10
  4. Step 4: Simplify right side
    314.10x = 135,753.15
  5. Step 5: Solve for x
    x = 135,753.15/314.10
  6. Step 6: Final answer
    x = 432.20

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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.