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Finding the Fourth Proportional to 162.00, 241.82 and 142.54

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Solution

The fourth proportional to 162.00, 241.82 and 142.54 is: 212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.00 : 241.82 = 142.54 : x
  2. Step 2: Convert to fraction form
    162.00/241.82 = 142.54/x
  3. Step 3: Cross multiply
    162.00x = 241.82 × 142.54
  4. Step 4: Simplify right side
    162.00x = 34,467.10
  5. Step 5: Solve for x
    x = 34,467.10/162.00
  6. Step 6: Final answer
    x = 212.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.