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Finding the Fourth Proportional to 317.19, 437.16 and 218.82

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Solution

The fourth proportional to 317.19, 437.16 and 218.82 is: 301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.19 : 437.16 = 218.82 : x
  2. Step 2: Convert to fraction form
    317.19/437.16 = 218.82/x
  3. Step 3: Cross multiply
    317.19x = 437.16 × 218.82
  4. Step 4: Simplify right side
    317.19x = 95,659.35
  5. Step 5: Solve for x
    x = 95,659.35/317.19
  6. Step 6: Final answer
    x = 301.58

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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.