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Finding the Fourth Proportional to 164.13, 247.31 and 135.87

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Solution

The fourth proportional to 164.13, 247.31 and 135.87 is: 204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.13 : 247.31 = 135.87 : x
  2. Step 2: Convert to fraction form
    164.13/247.31 = 135.87/x
  3. Step 3: Cross multiply
    164.13x = 247.31 × 135.87
  4. Step 4: Simplify right side
    164.13x = 33,602.01
  5. Step 5: Solve for x
    x = 33,602.01/164.13
  6. Step 6: Final answer
    x = 204.73

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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.