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Finding the Fourth Proportional to 167.45, 249.28 and 159.98

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Solution

The fourth proportional to 167.45, 249.28 and 159.98 is: 238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.45 : 249.28 = 159.98 : x
  2. Step 2: Convert to fraction form
    167.45/249.28 = 159.98/x
  3. Step 3: Cross multiply
    167.45x = 249.28 × 159.98
  4. Step 4: Simplify right side
    167.45x = 39,878.17
  5. Step 5: Solve for x
    x = 39,878.17/167.45
  6. Step 6: Final answer
    x = 238.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.