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Finding the Fourth Proportional to 317.32, 438.21 and 219.41

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Solution

The fourth proportional to 317.32, 438.21 and 219.41 is: 303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.32 : 438.21 = 219.41 : x
  2. Step 2: Convert to fraction form
    317.32/438.21 = 219.41/x
  3. Step 3: Cross multiply
    317.32x = 438.21 × 219.41
  4. Step 4: Simplify right side
    317.32x = 96,147.11
  5. Step 5: Solve for x
    x = 96,147.11/317.32
  6. Step 6: Final answer
    x = 303.00

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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.