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Finding the Fourth Proportional to 224.50, 310.05 and 154.74

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Solution

The fourth proportional to 224.50, 310.05 and 154.74 is: 213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.50 : 310.05 = 154.74 : x
  2. Step 2: Convert to fraction form
    224.50/310.05 = 154.74/x
  3. Step 3: Cross multiply
    224.50x = 310.05 × 154.74
  4. Step 4: Simplify right side
    224.50x = 47,976.36
  5. Step 5: Solve for x
    x = 47,976.36/224.50
  6. Step 6: Final answer
    x = 213.70

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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.