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Finding the Fourth Proportional to 157.70, 236.64 and 72.20

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Solution

The fourth proportional to 157.70, 236.64 and 72.20 is: 108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.70 : 236.64 = 72.20 : x
  2. Step 2: Convert to fraction form
    157.70/236.64 = 72.20/x
  3. Step 3: Cross multiply
    157.70x = 236.64 × 72.20
  4. Step 4: Simplify right side
    157.70x = 17,084.22
  5. Step 5: Solve for x
    x = 17,084.22/157.70
  6. Step 6: Final answer
    x = 108.34

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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.