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Finding the Fourth Proportional to 157.45, 216.40 and 138.92

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Solution

The fourth proportional to 157.45, 216.40 and 138.92 is: 190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.45 : 216.40 = 138.92 : x
  2. Step 2: Convert to fraction form
    157.45/216.40 = 138.92/x
  3. Step 3: Cross multiply
    157.45x = 216.40 × 138.92
  4. Step 4: Simplify right side
    157.45x = 30,060.86
  5. Step 5: Solve for x
    x = 30,060.86/157.45
  6. Step 6: Final answer
    x = 190.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.