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Finding the Fourth Proportional to 172.59, 237.93 and 114.27

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Solution

The fourth proportional to 172.59, 237.93 and 114.27 is: 157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.59 : 237.93 = 114.27 : x
  2. Step 2: Convert to fraction form
    172.59/237.93 = 114.27/x
  3. Step 3: Cross multiply
    172.59x = 237.93 × 114.27
  4. Step 4: Simplify right side
    172.59x = 27,188.26
  5. Step 5: Solve for x
    x = 27,188.26/172.59
  6. Step 6: Final answer
    x = 157.53

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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.