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Finding the Fourth Proportional to 224.08, 309 and 146.48

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Solution

The fourth proportional to 224.08, 309 and 146.48 is: 201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.08 : 309 = 146.48 : x
  2. Step 2: Convert to fraction form
    224.08/309 = 146.48/x
  3. Step 3: Cross multiply
    224.08x = 309 × 146.48
  4. Step 4: Simplify right side
    224.08x = 45,262.32
  5. Step 5: Solve for x
    x = 45,262.32/224.08
  6. Step 6: Final answer
    x = 201.99

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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.