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Finding the Fourth Proportional to 162.12, 241.77 and 151.19

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Solution

The fourth proportional to 162.12, 241.77 and 151.19 is: 225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.12 : 241.77 = 151.19 : x
  2. Step 2: Convert to fraction form
    162.12/241.77 = 151.19/x
  3. Step 3: Cross multiply
    162.12x = 241.77 × 151.19
  4. Step 4: Simplify right side
    162.12x = 36,553.21
  5. Step 5: Solve for x
    x = 36,553.21/162.12
  6. Step 6: Final answer
    x = 225.47

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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.