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Finding the Fourth Proportional to 162.34, 223.86 and 115.72

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Solution

The fourth proportional to 162.34, 223.86 and 115.72 is: 159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.34 : 223.86 = 115.72 : x
  2. Step 2: Convert to fraction form
    162.34/223.86 = 115.72/x
  3. Step 3: Cross multiply
    162.34x = 223.86 × 115.72
  4. Step 4: Simplify right side
    162.34x = 25,905.08
  5. Step 5: Solve for x
    x = 25,905.08/162.34
  6. Step 6: Final answer
    x = 159.57

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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.