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Finding the Fourth Proportional to 157.00, 216.43 and 110.22

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Solution

The fourth proportional to 157.00, 216.43 and 110.22 is: 151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.00 : 216.43 = 110.22 : x
  2. Step 2: Convert to fraction form
    157.00/216.43 = 110.22/x
  3. Step 3: Cross multiply
    157.00x = 216.43 × 110.22
  4. Step 4: Simplify right side
    157.00x = 23,854.36
  5. Step 5: Solve for x
    x = 23,854.36/157.00
  6. Step 6: Final answer
    x = 151.94

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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.