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Finding the Fourth Proportional to 224.78, 310.04 and 162.70

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Solution

The fourth proportional to 224.78, 310.04 and 162.70 is: 224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.78 : 310.04 = 162.70 : x
  2. Step 2: Convert to fraction form
    224.78/310.04 = 162.70/x
  3. Step 3: Cross multiply
    224.78x = 310.04 × 162.70
  4. Step 4: Simplify right side
    224.78x = 50,442.53
  5. Step 5: Solve for x
    x = 50,442.53/224.78
  6. Step 6: Final answer
    x = 224.41

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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.