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Finding the Fourth Proportional to 224.20, 309.18 and 146.56

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Solution

The fourth proportional to 224.20, 309.18 and 146.56 is: 202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.20 : 309.18 = 146.56 : x
  2. Step 2: Convert to fraction form
    224.20/309.18 = 146.56/x
  3. Step 3: Cross multiply
    224.20x = 309.18 × 146.56
  4. Step 4: Simplify right side
    224.20x = 45,313.42
  5. Step 5: Solve for x
    x = 45,313.42/224.20
  6. Step 6: Final answer
    x = 202.11

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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.