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Finding the Fourth Proportional to 317.18, 437.37 and 217.74

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Solution

The fourth proportional to 317.18, 437.37 and 217.74 is: 300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.18 : 437.37 = 217.74 : x
  2. Step 2: Convert to fraction form
    317.18/437.37 = 217.74/x
  3. Step 3: Cross multiply
    317.18x = 437.37 × 217.74
  4. Step 4: Simplify right side
    317.18x = 95,230.49
  5. Step 5: Solve for x
    x = 95,230.49/317.18
  6. Step 6: Final answer
    x = 300.25

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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.