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Finding the Fourth Proportional to 164.76, 227.36 and 91.06

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Solution

The fourth proportional to 164.76, 227.36 and 91.06 is: 125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.76 : 227.36 = 91.06 : x
  2. Step 2: Convert to fraction form
    164.76/227.36 = 91.06/x
  3. Step 3: Cross multiply
    164.76x = 227.36 × 91.06
  4. Step 4: Simplify right side
    164.76x = 20,703.40
  5. Step 5: Solve for x
    x = 20,703.40/164.76
  6. Step 6: Final answer
    x = 125.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.