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Finding the Fourth Proportional to 341.18, 470.58 and 216.61

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Solution

The fourth proportional to 341.18, 470.58 and 216.61 is: 298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.18 : 470.58 = 216.61 : x
  2. Step 2: Convert to fraction form
    341.18/470.58 = 216.61/x
  3. Step 3: Cross multiply
    341.18x = 470.58 × 216.61
  4. Step 4: Simplify right side
    341.18x = 101,930.35
  5. Step 5: Solve for x
    x = 101,930.35/341.18
  6. Step 6: Final answer
    x = 298.76

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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.