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Finding the Fourth Proportional to 164.18, 247.38 and 135.93

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Solution

The fourth proportional to 164.18, 247.38 and 135.93 is: 204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.18 : 247.38 = 135.93 : x
  2. Step 2: Convert to fraction form
    164.18/247.38 = 135.93/x
  3. Step 3: Cross multiply
    164.18x = 247.38 × 135.93
  4. Step 4: Simplify right side
    164.18x = 33,626.36
  5. Step 5: Solve for x
    x = 33,626.36/164.18
  6. Step 6: Final answer
    x = 204.81

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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.