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Finding the Fourth Proportional to 109.58, 163.61 and 95.00

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Solution

The fourth proportional to 109.58, 163.61 and 95.00 is: 141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.58 : 163.61 = 95.00 : x
  2. Step 2: Convert to fraction form
    109.58/163.61 = 95.00/x
  3. Step 3: Cross multiply
    109.58x = 163.61 × 95.00
  4. Step 4: Simplify right side
    109.58x = 15,541.66
  5. Step 5: Solve for x
    x = 15,541.66/109.58
  6. Step 6: Final answer
    x = 141.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.