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Finding the Fourth Proportional to 162.76, 225.04 and 142.25

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Solution

The fourth proportional to 162.76, 225.04 and 142.25 is: 196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.76 : 225.04 = 142.25 : x
  2. Step 2: Convert to fraction form
    162.76/225.04 = 142.25/x
  3. Step 3: Cross multiply
    162.76x = 225.04 × 142.25
  4. Step 4: Simplify right side
    162.76x = 32,012.15
  5. Step 5: Solve for x
    x = 32,012.15/162.76
  6. Step 6: Final answer
    x = 196.69

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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.