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Finding the Fourth Proportional to 162.46, 224.30 and 107.29

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Solution

The fourth proportional to 162.46, 224.30 and 107.29 is: 148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.46 : 224.30 = 107.29 : x
  2. Step 2: Convert to fraction form
    162.46/224.30 = 107.29/x
  3. Step 3: Cross multiply
    162.46x = 224.30 × 107.29
  4. Step 4: Simplify right side
    162.46x = 24,063.49
  5. Step 5: Solve for x
    x = 24,063.49/162.46
  6. Step 6: Final answer
    x = 148.12

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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.