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Finding the Fourth Proportional to 162.78, 223.10 and 159.95

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Solution

The fourth proportional to 162.78, 223.10 and 159.95 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.78 : 223.10 = 159.95 : x
  2. Step 2: Convert to fraction form
    162.78/223.10 = 159.95/x
  3. Step 3: Cross multiply
    162.78x = 223.10 × 159.95
  4. Step 4: Simplify right side
    162.78x = 35,682.93
  5. Step 5: Solve for x
    x = 35,682.93/162.78
  6. Step 6: Final answer
    x = 219.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.