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Finding the Fourth Proportional to 109.49, 164.97 and 90.65

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Solution

The fourth proportional to 109.49, 164.97 and 90.65 is: 136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.49 : 164.97 = 90.65 : x
  2. Step 2: Convert to fraction form
    109.49/164.97 = 90.65/x
  3. Step 3: Cross multiply
    109.49x = 164.97 × 90.65
  4. Step 4: Simplify right side
    109.49x = 14,953.71
  5. Step 5: Solve for x
    x = 14,953.71/109.49
  6. Step 6: Final answer
    x = 136.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.