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Finding the Fourth Proportional to 162.51, 223.56 and 157.95

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Solution

The fourth proportional to 162.51, 223.56 and 157.95 is: 217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.51 : 223.56 = 157.95 : x
  2. Step 2: Convert to fraction form
    162.51/223.56 = 157.95/x
  3. Step 3: Cross multiply
    162.51x = 223.56 × 157.95
  4. Step 4: Simplify right side
    162.51x = 35,311.30
  5. Step 5: Solve for x
    x = 35,311.30/162.51
  6. Step 6: Final answer
    x = 217.29

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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.