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Finding the Fourth Proportional to 198.52, 296.63 and 157.51

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Solution

The fourth proportional to 198.52, 296.63 and 157.51 is: 235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.52 : 296.63 = 157.51 : x
  2. Step 2: Convert to fraction form
    198.52/296.63 = 157.51/x
  3. Step 3: Cross multiply
    198.52x = 296.63 × 157.51
  4. Step 4: Simplify right side
    198.52x = 46,722.37
  5. Step 5: Solve for x
    x = 46,722.37/198.52
  6. Step 6: Final answer
    x = 235.36

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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.