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Finding the Fourth Proportional to 317.66, 438.23 and 191.61

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Solution

The fourth proportional to 317.66, 438.23 and 191.61 is: 264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.66 : 438.23 = 191.61 : x
  2. Step 2: Convert to fraction form
    317.66/438.23 = 191.61/x
  3. Step 3: Cross multiply
    317.66x = 438.23 × 191.61
  4. Step 4: Simplify right side
    317.66x = 83,969.73
  5. Step 5: Solve for x
    x = 83,969.73/317.66
  6. Step 6: Final answer
    x = 264.34

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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.