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Finding the Fourth Proportional to 224.19, 309.41 and 171.81

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Solution

The fourth proportional to 224.19, 309.41 and 171.81 is: 237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.19 : 309.41 = 171.81 : x
  2. Step 2: Convert to fraction form
    224.19/309.41 = 171.81/x
  3. Step 3: Cross multiply
    224.19x = 309.41 × 171.81
  4. Step 4: Simplify right side
    224.19x = 53,159.73
  5. Step 5: Solve for x
    x = 53,159.73/224.19
  6. Step 6: Final answer
    x = 237.12

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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.