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Finding the Fourth Proportional to 162.96, 224.94 and 130.44

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Solution

The fourth proportional to 162.96, 224.94 and 130.44 is: 180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.96 : 224.94 = 130.44 : x
  2. Step 2: Convert to fraction form
    162.96/224.94 = 130.44/x
  3. Step 3: Cross multiply
    162.96x = 224.94 × 130.44
  4. Step 4: Simplify right side
    162.96x = 29,341.17
  5. Step 5: Solve for x
    x = 29,341.17/162.96
  6. Step 6: Final answer
    x = 180.05

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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.