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Finding the Fourth Proportional to 317.45, 437.87 and 219.21

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Solution

The fourth proportional to 317.45, 437.87 and 219.21 is: 302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.45 : 437.87 = 219.21 : x
  2. Step 2: Convert to fraction form
    317.45/437.87 = 219.21/x
  3. Step 3: Cross multiply
    317.45x = 437.87 × 219.21
  4. Step 4: Simplify right side
    317.45x = 95,984.39
  5. Step 5: Solve for x
    x = 95,984.39/317.45
  6. Step 6: Final answer
    x = 302.36

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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.