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Finding the Fourth Proportional to 108.63, 162.64 and 79.65

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Solution

The fourth proportional to 108.63, 162.64 and 79.65 is: 119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.63 : 162.64 = 79.65 : x
  2. Step 2: Convert to fraction form
    108.63/162.64 = 79.65/x
  3. Step 3: Cross multiply
    108.63x = 162.64 × 79.65
  4. Step 4: Simplify right side
    108.63x = 12,954.28
  5. Step 5: Solve for x
    x = 12,954.28/108.63
  6. Step 6: Final answer
    x = 119.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.