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Finding the Fourth Proportional to 157.23, 236.48 and 132.93

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Solution

The fourth proportional to 157.23, 236.48 and 132.93 is: 199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.23 : 236.48 = 132.93 : x
  2. Step 2: Convert to fraction form
    157.23/236.48 = 132.93/x
  3. Step 3: Cross multiply
    157.23x = 236.48 × 132.93
  4. Step 4: Simplify right side
    157.23x = 31,434.62
  5. Step 5: Solve for x
    x = 31,434.62/157.23
  6. Step 6: Final answer
    x = 199.93

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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.