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Finding the Fourth Proportional to 224.16, 309.37 and 136.83

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Solution

The fourth proportional to 224.16, 309.37 and 136.83 is: 188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.16 : 309.37 = 136.83 : x
  2. Step 2: Convert to fraction form
    224.16/309.37 = 136.83/x
  3. Step 3: Cross multiply
    224.16x = 309.37 × 136.83
  4. Step 4: Simplify right side
    224.16x = 42,330.76
  5. Step 5: Solve for x
    x = 42,330.76/224.16
  6. Step 6: Final answer
    x = 188.84

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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.