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Finding the Fourth Proportional to 224.02, 309.14 and 136.69

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Solution

The fourth proportional to 224.02, 309.14 and 136.69 is: 188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.02 : 309.14 = 136.69 : x
  2. Step 2: Convert to fraction form
    224.02/309.14 = 136.69/x
  3. Step 3: Cross multiply
    224.02x = 309.14 × 136.69
  4. Step 4: Simplify right side
    224.02x = 42,255.79
  5. Step 5: Solve for x
    x = 42,255.79/224.02
  6. Step 6: Final answer
    x = 188.63

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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.