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Finding the Fourth Proportional to 157.93, 218.01 and 111.31

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Solution

The fourth proportional to 157.93, 218.01 and 111.31 is: 153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.93 : 218.01 = 111.31 : x
  2. Step 2: Convert to fraction form
    157.93/218.01 = 111.31/x
  3. Step 3: Cross multiply
    157.93x = 218.01 × 111.31
  4. Step 4: Simplify right side
    157.93x = 24,266.69
  5. Step 5: Solve for x
    x = 24,266.69/157.93
  6. Step 6: Final answer
    x = 153.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.