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Finding the Fourth Proportional to 199.35, 275.40 and 157.77

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Solution

The fourth proportional to 199.35, 275.40 and 157.77 is: 217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.35 : 275.40 = 157.77 : x
  2. Step 2: Convert to fraction form
    199.35/275.40 = 157.77/x
  3. Step 3: Cross multiply
    199.35x = 275.40 × 157.77
  4. Step 4: Simplify right side
    199.35x = 43,449.86
  5. Step 5: Solve for x
    x = 43,449.86/199.35
  6. Step 6: Final answer
    x = 217.96

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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.