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Finding the Fourth Proportional to 341.75, 470.64 and 311.00

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Solution

The fourth proportional to 341.75, 470.64 and 311.00 is: 428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.75 : 470.64 = 311.00 : x
  2. Step 2: Convert to fraction form
    341.75/470.64 = 311.00/x
  3. Step 3: Cross multiply
    341.75x = 470.64 × 311.00
  4. Step 4: Simplify right side
    341.75x = 146,366.69
  5. Step 5: Solve for x
    x = 146,366.69/341.75
  6. Step 6: Final answer
    x = 428.29

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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.