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Finding the Fourth Proportional to 167.95, 253.07 and 138.19

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Solution

The fourth proportional to 167.95, 253.07 and 138.19 is: 208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.95 : 253.07 = 138.19 : x
  2. Step 2: Convert to fraction form
    167.95/253.07 = 138.19/x
  3. Step 3: Cross multiply
    167.95x = 253.07 × 138.19
  4. Step 4: Simplify right side
    167.95x = 34,970.48
  5. Step 5: Solve for x
    x = 34,970.48/167.95
  6. Step 6: Final answer
    x = 208.22

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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.