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Finding the Fourth Proportional to 242.50, 363.75 and 114.25

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Solution

The fourth proportional to 242.50, 363.75 and 114.25 is: 171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.50 : 363.75 = 114.25 : x
  2. Step 2: Convert to fraction form
    242.50/363.75 = 114.25/x
  3. Step 3: Cross multiply
    242.50x = 363.75 × 114.25
  4. Step 4: Simplify right side
    242.50x = 41,558.44
  5. Step 5: Solve for x
    x = 41,558.44/242.50
  6. Step 6: Final answer
    x = 171.38

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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.