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Finding the Fourth Proportional to 224.63, 309.92 and 178.01

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Solution

The fourth proportional to 224.63, 309.92 and 178.01 is: 245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.63 : 309.92 = 178.01 : x
  2. Step 2: Convert to fraction form
    224.63/309.92 = 178.01/x
  3. Step 3: Cross multiply
    224.63x = 309.92 × 178.01
  4. Step 4: Simplify right side
    224.63x = 55,166.42
  5. Step 5: Solve for x
    x = 55,166.42/224.63
  6. Step 6: Final answer
    x = 245.59

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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.