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Finding the Fourth Proportional to 317.87, 438.77 and 224.85

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Solution

The fourth proportional to 317.87, 438.77 and 224.85 is: 310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.87 : 438.77 = 224.85 : x
  2. Step 2: Convert to fraction form
    317.87/438.77 = 224.85/x
  3. Step 3: Cross multiply
    317.87x = 438.77 × 224.85
  4. Step 4: Simplify right side
    317.87x = 98,657.14
  5. Step 5: Solve for x
    x = 98,657.14/317.87
  6. Step 6: Final answer
    x = 310.37

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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.