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Finding the Fourth Proportional to 341.21, 470.80 and 216.82

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Solution

The fourth proportional to 341.21, 470.80 and 216.82 is: 299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.21 : 470.80 = 216.82 : x
  2. Step 2: Convert to fraction form
    341.21/470.80 = 216.82/x
  3. Step 3: Cross multiply
    341.21x = 470.80 × 216.82
  4. Step 4: Simplify right side
    341.21x = 102,079.88
  5. Step 5: Solve for x
    x = 102,079.88/341.21
  6. Step 6: Final answer
    x = 299.17

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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.