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Finding the Fourth Proportional to 109.51, 164.16 and 86.83

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Solution

The fourth proportional to 109.51, 164.16 and 86.83 is: 130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.51 : 164.16 = 86.83 : x
  2. Step 2: Convert to fraction form
    109.51/164.16 = 86.83/x
  3. Step 3: Cross multiply
    109.51x = 164.16 × 86.83
  4. Step 4: Simplify right side
    109.51x = 14,253.60
  5. Step 5: Solve for x
    x = 14,253.60/109.51
  6. Step 6: Final answer
    x = 130.16

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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.