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Finding the Fourth Proportional to 164.77, 227.66 and 114.91

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Solution

The fourth proportional to 164.77, 227.66 and 114.91 is: 158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.77 : 227.66 = 114.91 : x
  2. Step 2: Convert to fraction form
    164.77/227.66 = 114.91/x
  3. Step 3: Cross multiply
    164.77x = 227.66 × 114.91
  4. Step 4: Simplify right side
    164.77x = 26,160.41
  5. Step 5: Solve for x
    x = 26,160.41/164.77
  6. Step 6: Final answer
    x = 158.77

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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.