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Finding the Fourth Proportional to 224.89, 310.36 and 137.50

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Solution

The fourth proportional to 224.89, 310.36 and 137.50 is: 189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.89 : 310.36 = 137.50 : x
  2. Step 2: Convert to fraction form
    224.89/310.36 = 137.50/x
  3. Step 3: Cross multiply
    224.89x = 310.36 × 137.50
  4. Step 4: Simplify right side
    224.89x = 42,674.50
  5. Step 5: Solve for x
    x = 42,674.50/224.89
  6. Step 6: Final answer
    x = 189.76

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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.