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Finding the Fourth Proportional to 157.66, 236.17 and 81.50

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Solution

The fourth proportional to 157.66, 236.17 and 81.50 is: 122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.66 : 236.17 = 81.50 : x
  2. Step 2: Convert to fraction form
    157.66/236.17 = 81.50/x
  3. Step 3: Cross multiply
    157.66x = 236.17 × 81.50
  4. Step 4: Simplify right side
    157.66x = 19,247.86
  5. Step 5: Solve for x
    x = 19,247.86/157.66
  6. Step 6: Final answer
    x = 122.08

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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.