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Finding the Fourth Proportional to 157.49, 236.12 and 123.33

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Solution

The fourth proportional to 157.49, 236.12 and 123.33 is: 184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.49 : 236.12 = 123.33 : x
  2. Step 2: Convert to fraction form
    157.49/236.12 = 123.33/x
  3. Step 3: Cross multiply
    157.49x = 236.12 × 123.33
  4. Step 4: Simplify right side
    157.49x = 29,119.50
  5. Step 5: Solve for x
    x = 29,119.50/157.49
  6. Step 6: Final answer
    x = 184.90

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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.