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Finding the Fourth Proportional to 167.15, 230.25 and 139.51

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Solution

The fourth proportional to 167.15, 230.25 and 139.51 is: 192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.15 : 230.25 = 139.51 : x
  2. Step 2: Convert to fraction form
    167.15/230.25 = 139.51/x
  3. Step 3: Cross multiply
    167.15x = 230.25 × 139.51
  4. Step 4: Simplify right side
    167.15x = 32,122.18
  5. Step 5: Solve for x
    x = 32,122.18/167.15
  6. Step 6: Final answer
    x = 192.18

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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.