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Finding the Fourth Proportional to 224.99, 310.50 and 131.76

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Solution

The fourth proportional to 224.99, 310.50 and 131.76 is: 181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.99 : 310.50 = 131.76 : x
  2. Step 2: Convert to fraction form
    224.99/310.50 = 131.76/x
  3. Step 3: Cross multiply
    224.99x = 310.50 × 131.76
  4. Step 4: Simplify right side
    224.99x = 40,911.48
  5. Step 5: Solve for x
    x = 40,911.48/224.99
  6. Step 6: Final answer
    x = 181.84

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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.