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Finding the Fourth Proportional to 162.79, 224.85 and 131.74

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Solution

The fourth proportional to 162.79, 224.85 and 131.74 is: 181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.79 : 224.85 = 131.74 : x
  2. Step 2: Convert to fraction form
    162.79/224.85 = 131.74/x
  3. Step 3: Cross multiply
    162.79x = 224.85 × 131.74
  4. Step 4: Simplify right side
    162.79x = 29,621.74
  5. Step 5: Solve for x
    x = 29,621.74/162.79
  6. Step 6: Final answer
    x = 181.96

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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.