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Finding the Fourth Proportional to 164.93, 247.38 and 43.19

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Solution

The fourth proportional to 164.93, 247.38 and 43.19 is: 64.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.93 : 247.38 = 43.19 : x
  2. Step 2: Convert to fraction form
    164.93/247.38 = 43.19/x
  3. Step 3: Cross multiply
    164.93x = 247.38 × 43.19
  4. Step 4: Simplify right side
    164.93x = 10,683.11
  5. Step 5: Solve for x
    x = 10,683.11/164.93
  6. Step 6: Final answer
    x = 64.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.