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Finding the Fourth Proportional to 317.10, 437.34 and 223.68

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Solution

The fourth proportional to 317.10, 437.34 and 223.68 is: 308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.10 : 437.34 = 223.68 : x
  2. Step 2: Convert to fraction form
    317.10/437.34 = 223.68/x
  3. Step 3: Cross multiply
    317.10x = 437.34 × 223.68
  4. Step 4: Simplify right side
    317.10x = 97,824.21
  5. Step 5: Solve for x
    x = 97,824.21/317.10
  6. Step 6: Final answer
    x = 308.50

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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.