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Finding the Fourth Proportional to 224.16, 309.21 and 141.12

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Solution

The fourth proportional to 224.16, 309.21 and 141.12 is: 194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.16 : 309.21 = 141.12 : x
  2. Step 2: Convert to fraction form
    224.16/309.21 = 141.12/x
  3. Step 3: Cross multiply
    224.16x = 309.21 × 141.12
  4. Step 4: Simplify right side
    224.16x = 43,635.19
  5. Step 5: Solve for x
    x = 43,635.19/224.16
  6. Step 6: Final answer
    x = 194.66

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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.