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Finding the Fourth Proportional to 198.34, 296.25 and 157.64

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Solution

The fourth proportional to 198.34, 296.25 and 157.64 is: 235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.34 : 296.25 = 157.64 : x
  2. Step 2: Convert to fraction form
    198.34/296.25 = 157.64/x
  3. Step 3: Cross multiply
    198.34x = 296.25 × 157.64
  4. Step 4: Simplify right side
    198.34x = 46,699.66
  5. Step 5: Solve for x
    x = 46,699.66/198.34
  6. Step 6: Final answer
    x = 235.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.