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Finding the Fourth Proportional to 157.97, 218.01 and 99.75

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Solution

The fourth proportional to 157.97, 218.01 and 99.75 is: 137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.97 : 218.01 = 99.75 : x
  2. Step 2: Convert to fraction form
    157.97/218.01 = 99.75/x
  3. Step 3: Cross multiply
    157.97x = 218.01 × 99.75
  4. Step 4: Simplify right side
    157.97x = 21,746.50
  5. Step 5: Solve for x
    x = 21,746.50/157.97
  6. Step 6: Final answer
    x = 137.67

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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.