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Finding the Fourth Proportional to 109.90, 163.99 and 93.58

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Solution

The fourth proportional to 109.90, 163.99 and 93.58 is: 139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.90 : 163.99 = 93.58 : x
  2. Step 2: Convert to fraction form
    109.90/163.99 = 93.58/x
  3. Step 3: Cross multiply
    109.90x = 163.99 × 93.58
  4. Step 4: Simplify right side
    109.90x = 15,346.18
  5. Step 5: Solve for x
    x = 15,346.18/109.90
  6. Step 6: Final answer
    x = 139.64

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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.