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Finding the Fourth Proportional to 224.60, 309.93 and 131.34

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Solution

The fourth proportional to 224.60, 309.93 and 131.34 is: 181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.60 : 309.93 = 131.34 : x
  2. Step 2: Convert to fraction form
    224.60/309.93 = 131.34/x
  3. Step 3: Cross multiply
    224.60x = 309.93 × 131.34
  4. Step 4: Simplify right side
    224.60x = 40,706.21
  5. Step 5: Solve for x
    x = 40,706.21/224.60
  6. Step 6: Final answer
    x = 181.24

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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.