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Finding the Fourth Proportional to 162.96, 224.97 and 110.78

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Solution

The fourth proportional to 162.96, 224.97 and 110.78 is: 152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.96 : 224.97 = 110.78 : x
  2. Step 2: Convert to fraction form
    162.96/224.97 = 110.78/x
  3. Step 3: Cross multiply
    162.96x = 224.97 × 110.78
  4. Step 4: Simplify right side
    162.96x = 24,921.48
  5. Step 5: Solve for x
    x = 24,921.48/162.96
  6. Step 6: Final answer
    x = 152.93

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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.