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Finding the Fourth Proportional to 341.21, 470.33 and 312.96

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Solution

The fourth proportional to 341.21, 470.33 and 312.96 is: 431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.21 : 470.33 = 312.96 : x
  2. Step 2: Convert to fraction form
    341.21/470.33 = 312.96/x
  3. Step 3: Cross multiply
    341.21x = 470.33 × 312.96
  4. Step 4: Simplify right side
    341.21x = 147,194.48
  5. Step 5: Solve for x
    x = 147,194.48/341.21
  6. Step 6: Final answer
    x = 431.39

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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.